The graph of a function g is given. The x y-coordinate plane is given. A function begins at the closed point (−4, 3), goes down and right becoming more steep, passes through the approximate points (−3, 2.75), (−2, 2), (−1, 0), changes direction at the point (0, −2), goes up and right becoming more steep, passes through the approximate point (1, −1.5), ends at the closed point (2, 1), begins again at the open point (2, 3), goes down and right becoming more steep, passes through the approximate point (3, 2.5), and ends at the closed point (4, 0). (a) State the values of the following. g(3)= g(0)= g(−1)= g(4)= (b) For what value(s) of x is g(x) = 3? (Enter your answers as a comma-separated list.) (c) For what value(s) of x is g(x) ≤ 3? (Enter your answer using interval notation.)
The graph of a function g is given. The x y-coordinate plane is given. A function begins at the closed point (−4, 3), goes down and right becoming more steep, passes through the approximate points (−3, 2.75), (−2, 2), (−1, 0), changes direction at the point (0, −2), goes up and right becoming more steep, passes through the approximate point (1, −1.5), ends at the closed point (2, 1), begins again at the open point (2, 3), goes down and right becoming more steep, passes through the approximate point (3, 2.5), and ends at the closed point (4, 0). (a) State the values of the following. g(3)= g(0)= g(−1)= g(4)= (b) For what value(s) of x is g(x) = 3? (Enter your answers as a comma-separated list.) (c) For what value(s) of x is g(x) ≤ 3? (Enter your answer using interval notation.)
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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The graph of a function g is given.
The x y-coordinate plane is given. A function begins at the closed point (−4, 3), goes down and right becoming more steep, passes through the approximate points (−3, 2.75), (−2, 2), (−1, 0), changes direction at the point (0, −2), goes up and right becoming more steep, passes through the approximate point (1, −1.5), ends at the closed point (2, 1), begins again at the open point (2, 3), goes down and right becoming more steep, passes through the approximate point (3, 2.5), and ends at the closed point (4, 0).
(a)
State the values of the following.
g(3)=
g(0)=
g(−1)=
g(4)=
(b)
For what value(s) of x is g(x) = 3? (Enter your answers as a comma-separated list.)
(c)
For what value(s) of x is g(x) ≤ 3? (Enter your answer using interval notation.)
(d)
State the domain and range of g. (Enter your answers using interval notation.)
domain
range
(e)
On what interval(s) is g increasing? (Enter your answer using interval notation.)
Transcribed Image Text:yA
3
-3
3
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