Suppose that f is a continuous function for which f(1)÷0 and f(t) dt=0. What can we conclude about the function f ? -2 O f(x)=0 for all x's in the interval [-2,2] . O f(-x)=-f(x) for any 0<æ<2. O f(-2) = f(2) = 0. O f(x)>0 for some x's, and f(x)<0 for some other æ's.

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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2
Suppose that f is a continuous function for which f(1)÷0 and
f(t) dt =0. What can we conclude about the function f?
-2
f(x)=0 for all x's in the interval [-2,2].
O f(-x)=-f(æ) for any 0<æ<2.
O f(-2) = f(2) = 0 .
%3D
f(x)>0 for some x's, and f(x)<0 for some other æ's.
Transcribed Image Text:2 Suppose that f is a continuous function for which f(1)÷0 and f(t) dt =0. What can we conclude about the function f? -2 f(x)=0 for all x's in the interval [-2,2]. O f(-x)=-f(æ) for any 0<æ<2. O f(-2) = f(2) = 0 . %3D f(x)>0 for some x's, and f(x)<0 for some other æ's.
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