Graph Linear Functions

This course discusses the different methods to graph a linear function. It covers three methods of graphing linear functions namely, graphing linear function by plotting points, graphing linear function using the slope and y-intercept, and graphing linear function using transformations. It includes the graphing of absolute value functions using table of values and transformations, graphing of horizontal and vertical lines, graphing of linear functions of different forms such as slope intercept form, standard form, graphing of linear functions when it is expressed by functional notation. The last section of this course includes the concept of the slope and rate of change of a linear function through the graph.

6 topics

235 lectures

Educators

Course Curriculum

Introduction to Algebra

60 videos

Linear Functions

35 videos

Solve Linear Inequalities

35 videos

20 videos

Graph Linear Functions

40 videos

Write Linear Equations

45 videos

Graph Linear Functions Lectures

Graph Linear Functions

Graph Absolute Value Functions Using Transformations - Example 1

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An "invertible function" is a function that is one-to-one and onto.

Julie Silva

Graph Linear Functions

Graph Absolute Value Functions Using Transformations - Example 2

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An "invertible function" is a function that is one-to-one and onto.

Julie Silva

Graph Linear Functions

Graph Absolute Value Functions Using Transformations - Example 3

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An "invertible function" is a function that is one-to-one and onto.

Julie Silva

Graph Linear Functions

Graph Absolute Value Functions Using Transformations - Example 4

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An "invertible function" is a function that is one-to-one and onto.

Julie Silva

Graph Linear Functions

Graph Absolute Value Functions Using Transformations - Overview

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An "invertible function" is a function that is one-to-one and onto.

Julie Silva

Graph Linear Functions

Graph Absolute Value Functions Using a Table of Values - Example 1

The absolute value of a real number is its numerical value without regard to its sign. For example, the absolute value of the number 10 is 10, and the absolute value of ?10 is also 10. The absolute value of a number may be thought of as its distance from zero on a number line. The symbol for absolute value is usually represented by a pair of vertical bars, |x|, read "|x|".

Julie Silva

Graph Linear Functions

Graph Absolute Value Functions Using a Table of Values - Example 2

The absolute value of a real number is its numerical value without regard to its sign. For example, the absolute value of the number 10 is 10, and the absolute value of ?10 is also 10. The absolute value of a number may be thought of as its distance from zero on a number line. The symbol for absolute value is usually represented by a pair of vertical bars, |x|, read "|x|".

Julie Silva

Graph Linear Functions

Graph Absolute Value Functions Using a Table of Values - Example 3

The absolute value of a real number is its numerical value without regard to its sign. For example, the absolute value of the number 10 is 10, and the absolute value of ?10 is also 10. The absolute value of a number may be thought of as its distance from zero on a number line. The symbol for absolute value is usually represented by a pair of vertical bars, |x|, read "|x|".

Julie Silva

Graph Linear Functions

Graph Absolute Value Functions Using a Table of Values - Example 4

The absolute value of a real number is its numerical value without regard to its sign. For example, the absolute value of the number 10 is 10, and the absolute value of ?10 is also 10. The absolute value of a number may be thought of as its distance from zero on a number line. The symbol for absolute value is usually represented by a pair of vertical bars, |x|, read "|x|".

Julie Silva

Graph Linear Functions

Graph Absolute Value Functions Using a Table of Values - Overview

The absolute value of a real number is its numerical value without regard to its sign. For example, the absolute value of the number 10 is 10, and the absolute value of ?10 is also 10. The absolute value of a number may be thought of as its distance from zero on a number line. The symbol for absolute value is usually represented by a pair of vertical bars, |x|, read "|x|".

Julie Silva

Graph Linear Functions

Graph Horizontal and Vertical Lines - Example 1

A linear function is a function of the form f(x)=ax+b. where "a" and "b" are real numbers. The graph of a linear function is a set of line segments that form a straight line.

Julie Silva

Graph Linear Functions

Graph Horizontal and Vertical Lines - Example 2

A linear function is a function of the form f(x)=ax+b. where "a" and "b" are real numbers. The graph of a linear function is a set of line segments that form a straight line.

Julie Silva

Graph Linear Functions

Graph Horizontal and Vertical Lines - Example 3

A linear function is a function of the form f(x)=ax+b. where "a" and "b" are real numbers. The graph of a linear function is a set of line segments that form a straight line.

Julie Silva

Graph Linear Functions

Graph Horizontal and Vertical Lines - Example 4

A linear function is a function of the form f(x)=ax+b. where "a" and "b" are real numbers. The graph of a linear function is a set of line segments that form a straight line.

Julie Silva

Graph Linear Functions

Graph Horizontal and Vertical Lines - Overview

A linear function is a function of the form f(x)=ax+b. where "a" and "b" are real numbers. The graph of a linear function is a set of line segments that form a straight line.

Julie Silva

Graph Linear Functions

Graph Linear Equations in Any Form - Example 1

A linear equation is an equation in which each term is either a constant or the product of a constant and a single variable. An example of a linear equation is 2x + 3 = 5. In this example, the term 2x is the only term that is not multiplied by a single variable. Every term in the equation is a product of a constant and a single variable.

Julie Silva

Graph Linear Functions

Graph Linear Equations in Any Form - Example 2

A linear equation is an equation in which each term is either a constant or the product of a constant and a single variable. An example of a linear equation is 2x + 3 = 5. In this example, the term 2x is the only term that is not multiplied by a single variable. Every term in the equation is a product of a constant and a single variable.

Julie Silva

Graph Linear Functions

Graph Linear Equations in Any Form - Example 3

A linear equation is an equation in which each term is either a constant or the product of a constant and a single variable. An example of a linear equation is 2x + 3 = 5. In this example, the term 2x is the only term that is not multiplied by a single variable. Every term in the equation is a product of a constant and a single variable.

Julie Silva

Graph Linear Functions

Graph Linear Equations in Any Form - Example 4

A linear equation is an equation in which each term is either a constant or the product of a constant and a single variable. An example of a linear equation is 2x + 3 = 5. In this example, the term 2x is the only term that is not multiplied by a single variable. Every term in the equation is a product of a constant and a single variable.

Julie Silva

Graph Linear Functions

Graph Linear Equations in Any Form - Overview

A linear equation is an equation in which each term is either a constant or the product of a constant and a single variable. An example of a linear equation is 2x + 3 = 5. In this example, the term 2x is the only term that is not multiplied by a single variable. Every term in the equation is a product of a constant and a single variable.

Julie Silva

Graph Linear Functions

Graph Linear Equations in Slope-Intercept Form - Example 1

A linear equation is an equation containing one or more variables, in which the variables are of the form "x" and their powers are of the form "x". The solutions of such an equation are the values that make the equation true.

Julie Silva

Graph Linear Functions

Graph Linear Equations in Slope-Intercept Form - Example 2

A linear equation is an equation containing one or more variables, in which the variables are of the form "x" and their powers are of the form "x". The solutions of such an equation are the values that make the equation true.

Julie Silva

Graph Linear Functions

Graph Linear Equations in Slope-Intercept Form - Example 3

A linear equation is an equation containing one or more variables, in which the variables are of the form "x" and their powers are of the form "x". The solutions of such an equation are the values that make the equation true.

Julie Silva

Graph Linear Functions

Graph Linear Equations in Slope-Intercept Form - Example 4

A linear equation is an equation containing one or more variables, in which the variables are of the form "x" and their powers are of the form "x". The solutions of such an equation are the values that make the equation true.

Julie Silva

Graph Linear Functions

Graph Linear Equations in Slope-Intercept Form - Overview

A linear equation is an equation containing one or more variables, in which the variables are of the form "x" and their powers are of the form "x". The solutions of such an equation are the values that make the equation true.

Julie Silva

Graph Linear Functions

Graph Linear Equations in Standard Form - Example 1

In mathematics, a linear equation is an equation that involves only the variables (no exponents or roots) and the coefficients of the variables are all constants. Linear equations can be written in the form "ax" + "by" + "cz" = "d", where a, b, c and d are constants, and a, b, and c are not zero. The solutions of the linear equation are the values of "x", "y" and "z" that satisfy the equation.

Julie Silva

Graph Linear Functions

Graph Linear Equations in Standard Form - Example 2

In mathematics, a linear equation is an equation that involves only the variables (no exponents or roots) and the coefficients of the variables are all constants. Linear equations can be written in the form "ax" + "by" + "cz" = "d", where a, b, c and d are constants, and a, b, and c are not zero. The solutions of the linear equation are the values of "x", "y" and "z" that satisfy the equation.

Julie Silva

Graph Linear Functions

Graph Linear Equations in Standard Form - Example 3

In mathematics, a linear equation is an equation that involves only the variables (no exponents or roots) and the coefficients of the variables are all constants. Linear equations can be written in the form "ax" + "by" + "cz" = "d", where a, b, c and d are constants, and a, b, and c are not zero. The solutions of the linear equation are the values of "x", "y" and "z" that satisfy the equation.

Julie Silva

Graph Linear Functions

Graph Linear Equations in Standard Form - Example 4

In mathematics, a linear equation is an equation that involves only the variables (no exponents or roots) and the coefficients of the variables are all constants. Linear equations can be written in the form "ax" + "by" + "cz" = "d", where a, b, c and d are constants, and a, b, and c are not zero. The solutions of the linear equation are the values of "x", "y" and "z" that satisfy the equation.

Julie Silva

Graph Linear Functions

Graph Linear Equations in Standard Form - Overview

In mathematics, a linear equation is an equation that involves only the variables (no exponents or roots) and the coefficients of the variables are all constants. Linear equations can be written in the form "ax" + "by" + "cz" = "d", where a, b, c and d are constants, and a, b, and c are not zero. The solutions of the linear equation are the values of "x", "y" and "z" that satisfy the equation.

Julie Silva

Graph Linear Functions

Graph Linear Functions Written Using Function Notation - Example 1

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x^2. The output of a function f corresponding to an input x is denoted by f(x). Two functions are equal if they have the same values when the same inputs are given. Two functions have the same graph if one can be transformed into the other by a continuous transformation (one-to-one and onto).

Julie Silva

Graph Linear Functions

Graph Linear Functions Written Using Function Notation - Example 2

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x^2. The output of a function f corresponding to an input x is denoted by f(x). Two functions are equal if they have the same values when the same inputs are given. Two functions have the same graph if one can be transformed into the other by a continuous transformation (one-to-one and onto).

Julie Silva

Graph Linear Functions

Graph Linear Functions Written Using Function Notation - Example 3

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x^2. The output of a function f corresponding to an input x is denoted by f(x). Two functions are equal if they have the same values when the same inputs are given. Two functions have the same graph if one can be transformed into the other by a continuous transformation (one-to-one and onto).

Julie Silva

Graph Linear Functions

Graph Linear Functions Written Using Function Notation - Example 4

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x^2. The output of a function f corresponding to an input x is denoted by f(x). Two functions are equal if they have the same values when the same inputs are given. Two functions have the same graph if one can be transformed into the other by a continuous transformation (one-to-one and onto).

Julie Silva

Graph Linear Functions

Graph Linear Functions Written Using Function Notation - Overview

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x^2. The output of a function f corresponding to an input x is denoted by f(x). Two functions are equal if they have the same values when the same inputs are given. Two functions have the same graph if one can be transformed into the other by a continuous transformation (one-to-one and onto).

Julie Silva

Graph Linear Functions

Slope and Rate of Change - Example 1

The derivative is a measure of the rate of change of a function. It is a way of specifying how a function changes as its input changes. The derivative of a function at a chosen input value describes the best linear approximation of the function near that input value. The simplest case of a derivative is the difference quotient of a function. The concept of the derivative of a function is a central notion in calculus.

Julie Silva

Graph Linear Functions

Slope and Rate of Change - Example 2

The derivative is a measure of the rate of change of a function. It is a way of specifying how a function changes as its input changes. The derivative of a function at a chosen input value describes the best linear approximation of the function near that input value. The simplest case of a derivative is the difference quotient of a function. The concept of the derivative of a function is a central notion in calculus.

Julie Silva

Graph Linear Functions

Slope and Rate of Change - Example 3

The derivative is a measure of the rate of change of a function. It is a way of specifying how a function changes as its input changes. The derivative of a function at a chosen input value describes the best linear approximation of the function near that input value. The simplest case of a derivative is the difference quotient of a function. The concept of the derivative of a function is a central notion in calculus.

Julie Silva

Graph Linear Functions

Slope and Rate of Change - Example 4

The derivative is a measure of the rate of change of a function. It is a way of specifying how a function changes as its input changes. The derivative of a function at a chosen input value describes the best linear approximation of the function near that input value. The simplest case of a derivative is the difference quotient of a function. The concept of the derivative of a function is a central notion in calculus.

Julie Silva

Graph Linear Functions

Slope and Rate of Change - Overview

The derivative is a measure of the rate of change of a function. It is a way of specifying how a function changes as its input changes. The derivative of a function at a chosen input value describes the best linear approximation of the function near that input value. The simplest case of a derivative is the difference quotient of a function. The concept of the derivative of a function is a central notion in calculus.

Julie Silva