Docsity
Docsity

Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity


Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan


Guidelines and tips
Guidelines and tips

2.1 Graphing Absolute Value Functions.notebook, Lecture notes of Pre-Calculus

2.1 Graphing Absolute Value Functions.notebook. 1. September 29, 2016. Pg 65. Page 2. 2.1 Graphing Absolute Value Functions.notebook.

Typology: Lecture notes

2021/2022
On special offer
30 Points
Discount

Limited-time offer


Uploaded on 09/27/2022

aarti
aarti 🇺🇸

4.5

(8)

224 documents

1 / 13

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
2.1GraphingAbsoluteValueFunctions.notebook
1
September29,2016
Pg65
pf3
pf4
pf5
pf8
pf9
pfa
pfd
Discount

On special offer

Partial preview of the text

Download 2.1 Graphing Absolute Value Functions.notebook and more Lecture notes Pre-Calculus in PDF only on Docsity!

  • Pg
2.1 Graphing Absolute Value Functions.notebook September 29, 2016 Pg 65 2.1 Graphing Absolute Value Functions Essential Question: How can you identify the features of the graph of an absolute value function? Graphing and Analyzing the Parent Absolute Value Function Absolute value, written as |x|, represents the distance between x and 0 on a number line. As a distance, absolute value is always positive. For every point on a number line, there is another point on the opposite side of 0 that is the same distance from 0. For example, both 5 and —5 are five units away from 0. Thus, | —5| = 5 and|5| = 5. 5 units 5 units <-—__+—__+—_+—_ —5 0 5 Soman cot ‘The absolute value function |x|, can be defined peceise as Ixl= { Eg: When xis nonnegative, =x x ‘the function simply returns the number. When x is negative, the function returns the opposite of x. ® Complete the input-output table for f(x). x x>0 -8 foy= izi= {* on Plot the points you found on the coordinate grid. Use the points to complete the graph of the function. = \Q, / _ Ix) Now, examine your graph of f(x) = |x| and complete the following statements about the function. f(x) = |x| is symmetric about the Yy ANS and therefore is a(n) é VE function. . Gsess) yall | The domain of f(x) = |x| is ‘The range of f(x) = [xis Lo ) 0)) fe