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3- Determine two functions g(x) and h(x), neither of which is constant, so that f(x) =f(x) = g(x) < 0 is and h(x) f"(x) 20 for x > 0 and f'(x) < 0 for x < 0. Also, the second derivative has at least one root. Show your work and justify your answer. Graph function, first derivative and second derivative.

3- Determine two functions g(x) and h(x), neither of which is constant, so that f(x) =f(x) = g(x) < 0 is and h(x) f"(x) 20 for x > 0 and f'(x) < 0 for x < 0. Also, the second derivative has at least one root. Show your work and justify your answer. Graph function, first derivative and second derivative.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Solve. Show all work. Provide graphs. Don't use "e"

g(x) h(x) f(x) 20 for x> 0 and f'(x)<0 for x < 0. Also, the second derivative has at least one root. Show your work and justify your answer. Graph function, first derivative and second derivative. 3- Determine two functions g(x) and h(x), neither of which is constant, so that (x) =f (x) < O is and
Transcribed Image Text:g(x) h(x) f(x) 20 for x> 0 and f'(x)<0 for x < 0. Also, the second derivative has at least one root. Show your work and justify your answer. Graph function, first derivative and second derivative. 3- Determine two functions g(x) and h(x), neither of which is constant, so that (x) =f (x) < O is and
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