Suppose that f(x) is a continuous function on the interval [-1, 3] with f( − 1) = − 3 and f(3) = 3. Determine which choice best describes the following statement. "f(x) = 0 for some x in the interval [-1, 3]" O Sometimes true and sometimes false O Always false O Always true > Next Question

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Suppose that f(x) is a continuous function on the interval [-1, 3] with f(-1) = -3 and f(3) = 3.
Determine which choice best describes the following statement.
"f(x) = 0 for some x in the interval [-1, 3]″
I
O Sometimes true and sometimes false
O Always false
O Always true
> Next Question
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Mostly clear
O
a
0
Transcribed Image Text:Suppose that f(x) is a continuous function on the interval [-1, 3] with f(-1) = -3 and f(3) = 3. Determine which choice best describes the following statement. "f(x) = 0 for some x in the interval [-1, 3]″ I O Sometimes true and sometimes false O Always false O Always true > Next Question 82°F Mostly clear O a 0
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