3. How is the symmetry of the absolute value function reflected in the equivalent linear piecewise function?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter3: Graphing Linear Functions
Section: Chapter Questions
Problem 2CT
icon
Related questions
icon
Concept explainers
Topic Video
Question

I don't understand number 3 and I'm not sure how to explain number 5

A Special Type of
Piecewise Function
ACTIVITY
3.4
Consider the graph of f(x) = |x|.
1. Explain how the graph also represents a linear
piecewise function.
10
f(x>0)= x
f (x= 0) =0
f(x<o)=-x
two connected linear fimctions
that are
on one graph, AkA
set of data
One
10
10
2. Write a linear piecewise function to represent the graph.
x>0
-10
xLO
3. How is the symmetry of the absolute value function reflected
in the equivalent linear piecewise function?
Consider this linear piecewise function.
x + 50,
-50 < x<0
g (X) :
-x + 50,
0<x< 50
50
4. Sketch a graph of this function.
40
30
20-
5. Explain how the graph also represents a linear
10-
absolute value function.
-50 -40 -30 -20 -10
10
20
30
40
50
-10-
6. Write g(x) as a linear absolute value function.
ga)=-|x|+S0
LESSON 3:I Graph in Pieces
М3-49
© Carnegie Learning, Inc.
to
Transcribed Image Text:A Special Type of Piecewise Function ACTIVITY 3.4 Consider the graph of f(x) = |x|. 1. Explain how the graph also represents a linear piecewise function. 10 f(x>0)= x f (x= 0) =0 f(x<o)=-x two connected linear fimctions that are on one graph, AkA set of data One 10 10 2. Write a linear piecewise function to represent the graph. x>0 -10 xLO 3. How is the symmetry of the absolute value function reflected in the equivalent linear piecewise function? Consider this linear piecewise function. x + 50, -50 < x<0 g (X) : -x + 50, 0<x< 50 50 4. Sketch a graph of this function. 40 30 20- 5. Explain how the graph also represents a linear 10- absolute value function. -50 -40 -30 -20 -10 10 20 30 40 50 -10- 6. Write g(x) as a linear absolute value function. ga)=-|x|+S0 LESSON 3:I Graph in Pieces М3-49 © Carnegie Learning, Inc. to
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning