If a function f is differentiable on [7,11], then which of the following statements must be true? The absolute maximum value is f(11). V fis continuous on [7,11]. f has an absolute minimum value on (7,11). Ofhas an absolute maximum value on [7,11]. OThere is a tangent line (to graph of f) over (7,11), which is parallel to the secant line of f at x-7 and x-11.
If a function f is differentiable on [7,11], then which of the following statements must be true? The absolute maximum value is f(11). V fis continuous on [7,11]. f has an absolute minimum value on (7,11). Ofhas an absolute maximum value on [7,11]. OThere is a tangent line (to graph of f) over (7,11), which is parallel to the secant line of f at x-7 and x-11.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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![If a function f is differentiable on [7,11], then which of the following statements must be true?
O The absolute maximum value is f(11).
V fis continuous on [7,11].
f has an absolute minimum value on (7,11).
fhas an absolute maximum value on [7,11].
There is a tangent line (to graph of f) over (7,11), which is parallel to the secant line of f at x-7 and x-11.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F82a52211-3f63-48c6-b5e1-40041605a894%2Fad6216a9-ed14-4f52-bb36-f61bd87ab785%2Fqps0dk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:If a function f is differentiable on [7,11], then which of the following statements must be true?
O The absolute maximum value is f(11).
V fis continuous on [7,11].
f has an absolute minimum value on (7,11).
fhas an absolute maximum value on [7,11].
There is a tangent line (to graph of f) over (7,11), which is parallel to the secant line of f at x-7 and x-11.
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