g be a twice-diferentiable, increasing function of t. If g(0) = 20 and g(10) = 220, which of the following must be true on the interval 0 0 for all t in the interval.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 31E
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a twice-differentiable, increasing function of t. If g(0) = 20 and g(10) = 220, which of the following must be true on the interval 0 <t< 10?
A
g'(t) = 0 for some t in the interval.
B
g (t) = 20 for some t in the interval,
g'(t) = 0 for some t in the interval.
D
g'(1) > 0 for all t in the interval.
Transcribed Image Text:a twice-differentiable, increasing function of t. If g(0) = 20 and g(10) = 220, which of the following must be true on the interval 0 <t< 10? A g'(t) = 0 for some t in the interval. B g (t) = 20 for some t in the interval, g'(t) = 0 for some t in the interval. D g'(1) > 0 for all t in the interval.
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