Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Question

Answered step-by-step

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

Video Answer

Solved by verified expert

This problem has been solved!

Try Numerade free for 7 days

Like

Report

Official textbook answer

Video by Taylor Shimono

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Calculus 1 / AB

Calculus 3

Precalculus

Algebra

Chapter 2

Functions, Equations, And Graphs

Section 6

Families of Functions

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

Linear Functions

Rational Functions

Exponential and Logarithmic Functions

Oregon State University

McMaster University

Lectures

01:43

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).

03:05

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".

03:02

Evaluate each function for…

01:59

01:20

Graph each function.$f…

03:57

Graph each function by mak…

04:18

Graph each of the function…

00:43

Graph each function.$$…

00:41

01:25

Graph each function $f…

02:13

02:42

Graph each function. See E…

00:25

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.

View More Answers From This Book

Find Another Textbook