7. The absolute value function is: f(x) = |x|. This can be expressed as a piecewise function: x ≥ 0 x < 0 f(x) = |x| = {x x Express the function: g(x) = |x + 3] as a piecewise function. Describe the difference between the graph of f(x) = |x| versus the graph of g(x) = |x +31. In other words, what kind of shift occurs between the two graphs?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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7. The absolute value function is: f(x) = |x|. This can be expressed as a piecewise function:
x ≥ 0
x < 0
f(x) = |x| = {x x
Express the function: g(x) = |x + 3] as a piecewise function. Describe the difference between
the graph of f(x) = |x| versus the graph of g(x) = |x +31. In other words, what kind of shift occurs
between the two graphs?
Transcribed Image Text:7. The absolute value function is: f(x) = |x|. This can be expressed as a piecewise function: x ≥ 0 x < 0 f(x) = |x| = {x x Express the function: g(x) = |x + 3] as a piecewise function. Describe the difference between the graph of f(x) = |x| versus the graph of g(x) = |x +31. In other words, what kind of shift occurs between the two graphs?
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