Sketch the graph of a continuous function y = g(x) such that a. g(2) = 2,0 < g' < 1 for x < 2, g'(x) →1 as x→2", -1 < g' < 0 for x > 2, and g'(x) →-1* as x→2*; b. g(2) = 2, g' < 0 for x < 2, g'(x) →-∞ as x→2, g' > 0 for x > 2, and g'(x) →∞ as x→2*.
Sketch the graph of a continuous function y = g(x) such that a. g(2) = 2,0 < g' < 1 for x < 2, g'(x) →1 as x→2", -1 < g' < 0 for x > 2, and g'(x) →-1* as x→2*; b. g(2) = 2, g' < 0 for x < 2, g'(x) →-∞ as x→2, g' > 0 for x > 2, and g'(x) →∞ as x→2*.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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