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Problem

Evaluate each function for five values of $x .$ T…

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Problem 58 Medium Difficulty

Evaluate each function for five values of $x .$ Then graph each function.
$f(x)=|x-3|+2$


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Related Courses

Calculus 1 / AB

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Algebra 2

Chapter 2

Functions, Equations, And Graphs

Section 6

Families of Functions

Related Topics

Functions

Partial Derivatives

Algebra Topics That are Reviewed at the Start of the Semester

Continuous Functions

Functions of Several Variables

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Graphs and Statistics

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Functions

Linear Functions

Rational Functions

Exponential and Logarithmic Functions

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Top Algebra Educators
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Heather Zimmers

Oregon State University

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Algebra Courses

Lectures

Video Thumbnail

01:43

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).

Video Thumbnail

03:05

Rewriting Equations and Formulas - Example 1

In mathematics, rewriting is a process of converting an expression into another expression with the same value, but with a simpler form. Rewriting is usually done by applying rules that change one expression into another, usually simpler, expression. Rewriting is used in many different fields of mathematics, but is particularly important in elementary algebra, where a number of rules for rewriting expressions are taught in school. Rewriting is also an important process in computer programming, where it is often called "simplification", "unrolling", or "unwinding".

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Watch More Solved Questions in Chapter 2

Problem 1
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Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
Problem 29
Problem 30
Problem 31
Problem 32
Problem 33
Problem 34
Problem 35
Problem 36
Problem 37
Problem 38
Problem 39
Problem 40
Problem 41
Problem 42
Problem 43
Problem 44
Problem 45
Problem 46
Problem 47
Problem 48
Problem 49
Problem 50
Problem 51
Problem 52
Problem 53
Problem 54
Problem 55
Problem 56
Problem 57
Problem 58
Problem 59
Problem 60
Problem 61
Problem 62
Problem 63
Problem 64

Video Transcript

uh, I went ahead and started by choosing my five values of X that I want to plug into my equation. And so essentially, I just chose values that we're going to be to the left of to the right of and at X is equal to three because I can see from looking at my my function that we're going to have a horizontal shift of three units to the right here so we can go ahead and start evaluating our function. Um, at F zero at the beginning of our table. And when we plug this in, we're going to get F zero is equal to the absolute value of zero minus three plus two. So this is equal to the absolute value of negative three plus two, which will simplify to five. And we can go ahead and do the same thing for f of one. So in this case, uh, it will be equal to one minus three, putting in or one for X there close to. So this is going to become the absolute value of negative two plus two, which will simplify to four. And we can continue down our left column the same way and solve for our remaining values in our right column. And so when we do that, um, our remaining why values are going to be too for and five. And our last step in this problem is going to be graphing our function so we can go ahead and start plotting her points. So we have 05 14 32 54 And finally 65 So we can from here, go ahead and connect our points in a straight line, and now we have our absolute value.

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Related Topics

Functions

Partial Derivatives

Algebra Topics That are Reviewed at the Start of the Semester

Continuous Functions

Functions of Several Variables

The Language of Algebra

Fractions and Mixed Numbers

Graphs and Statistics

Equations and Inequalities

Functions

Linear Functions

Rational Functions

Exponential and Logarithmic Functions

Top Algebra Educators
Grace He

Numerade Educator

Heather Zimmers

Oregon State University

Alayna Handiak

McMaster University

Maria Giefer

Numerade Educator

Algebra Courses

Lectures

Video Thumbnail

01:43

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).

Video Thumbnail

03:05

Rewriting Equations and Formulas - Example 1

In mathematics, rewriting is a process of converting an expression into another expression with the same value, but with a simpler form. Rewriting is usually done by applying rules that change one expression into another, usually simpler, expression. Rewriting is used in many different fields of mathematics, but is particularly important in elementary algebra, where a number of rules for rewriting expressions are taught in school. Rewriting is also an important process in computer programming, where it is often called "simplification", "unrolling", or "unwinding".

Join Course
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