Let g(x) be a differentiable function on [-1,1] such that g(-1) = 9 and g(1) = 13. Which of the following statements is certainly true? g(x) has a tangent line with slope -2 for some CE (-1,1). g(x) has a vertical tangent line for some CE (-1,1). g(x) has a tangent line with slope 2 for some се (-1, 1). g(x) has a horizontal tangent line for some CE (-1,1). g(x) has a tangent line with slope for some Се ( -1,1). 1/2

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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estion 7
Let g(x) be a differentiable function on [–1,1] such
that g(-1) =9 and g(1) = 13. Which of the
following statements is certainly true?
t yet
swered
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g(x) has a tangent line with slope -2 for some
се (-1, 1).
O g(z) has a vertical tangent line for some
CE (-1,1).
g(z) has a tangent line with slope 2 for some
CE (-1,1).
g(x) has a horizontal tangent line for some
CE (-1,1).
g(x) has a tangent line with slope -
се ( -1,1).
for some
Transcribed Image Text:estion 7 Let g(x) be a differentiable function on [–1,1] such that g(-1) =9 and g(1) = 13. Which of the following statements is certainly true? t yet swered arked out of Flag question g(x) has a tangent line with slope -2 for some се (-1, 1). O g(z) has a vertical tangent line for some CE (-1,1). g(z) has a tangent line with slope 2 for some CE (-1,1). g(x) has a horizontal tangent line for some CE (-1,1). g(x) has a tangent line with slope - се ( -1,1). for some
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