if x < 0 if 0 < x < 1 if 1 < x < 2 if x > 2 f(x) = 2 - X and g(x) = f(t) dt. (a) Find an expression for g(x) similar to the one for f(x). if x < 0 if 0 < x < 1 g(x) if 1 < x < 2 if x > 2 (b) Sketch the graph of f. y y

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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if x < 0
if 0 < x < 1
if 1 < x < 2
f(x)
if x > 2
and
х
g(x) =
f(t) dt.
(a) Find an expression for g(x) similar to the one for f(x).
if x < 0
if 0 < x < 1
g(x) :
if 1 < x < 2
if x > 2
(b) Sketch the graph of f.
f(x)
х
f(x)
х
У
У
f(x)
х
1
-1
f(x)
Transcribed Image Text:if x < 0 if 0 < x < 1 if 1 < x < 2 f(x) if x > 2 and х g(x) = f(t) dt. (a) Find an expression for g(x) similar to the one for f(x). if x < 0 if 0 < x < 1 g(x) : if 1 < x < 2 if x > 2 (b) Sketch the graph of f. f(x) х f(x) х У У f(x) х 1 -1 f(x)
Sketch the graph of g.
х
g(x)
g(x)
х
2
У
х
g(x)
-1
g(x)
х
1
2
(c) Where is f differentiable? (Enter your answer using interval notation.)
Where is g differentiable? (Enter your answer using interval notation.)
2.
Transcribed Image Text:Sketch the graph of g. х g(x) g(x) х 2 У х g(x) -1 g(x) х 1 2 (c) Where is f differentiable? (Enter your answer using interval notation.) Where is g differentiable? (Enter your answer using interval notation.) 2.
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