3. Given the function Y = f(x) : = e answer the following: a. Determine if there are any horizontal asymptotes by considering both lim f(x) and lim f(x). T→-の b. Use the first derivative to find where f(x) is increasing/decreasing. (Give your answers in interval notation). c. Find all local extrema of f(x). Label each as being a local maximum or local minimum.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter10: Radical Functions And Equations
Section: Chapter Questions
Problem 9CR
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d. Use the second derivative to find where f (x) is concave up/concave
down. (Give your answers in interval notation). List the x-
coordinates of all inflection points. ·
e. Use your answers from a-d to sketch a graph of the function. (
Transcribed Image Text:d. Use the second derivative to find where f (x) is concave up/concave down. (Give your answers in interval notation). List the x- coordinates of all inflection points. · e. Use your answers from a-d to sketch a graph of the function. (
3. Given the function y = f(x) = e
answer the following:
a. Determine if there are any horizontal asymptotes by considering
both lim f(x) and lim f(x).
b. Use the first derivative to find where f(x) is increasing/decreasing.
(Give your answers in inter val notation).
c. Find all local extrema of f(x). Label each as being a local
maximum or local minimum.
Transcribed Image Text:3. Given the function y = f(x) = e answer the following: a. Determine if there are any horizontal asymptotes by considering both lim f(x) and lim f(x). b. Use the first derivative to find where f(x) is increasing/decreasing. (Give your answers in inter val notation). c. Find all local extrema of f(x). Label each as being a local maximum or local minimum.
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