3. Sketch the graph of the given function by doing the following 1. Determine the domain of the function. Find all vertical and horizontal asymptotes (if any) 2. Find all the critical points (both coordinates) and classify them as local min, max or neither 3. Write the intervals where the function is increasing and the ones where it is decreasing 4. Find the inflection points (if any) 5. Use the second derivative to determine the intervals where the function is concave up and the ones where it is concave down 6. Determine the x- and y-intercepts (if any) 7. Use this information to graph the function. Do not use the calculator to graph. Graphs from calculators will receive no credit. Find the critical points of y = e2x-1 X

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 35E
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Please answer all questions, specifically 7. Thank you!
3. Sketch the graph of the given function by doing the following
1. Determine the domain of the function. Find all vertical and horizontal asymptotes (if any)
2. Find all the critical points (both coordinates) and classify them as local min, max or neither
3. Write the intervals where the function is increasing and the ones where it is decreasing
4. Find the inflection points (if any)
5. Use the second derivative to determine the intervals where the function is concave up and the ones where it is concave
down
6. Determine the x- and y-intercepts (if any)
7. Use this information to graph the function. Do not use the calculator to graph.
Graphs from calculators will receive no credit.
e2x-1
Find the critical points of y=-
^.
Transcribed Image Text:3. Sketch the graph of the given function by doing the following 1. Determine the domain of the function. Find all vertical and horizontal asymptotes (if any) 2. Find all the critical points (both coordinates) and classify them as local min, max or neither 3. Write the intervals where the function is increasing and the ones where it is decreasing 4. Find the inflection points (if any) 5. Use the second derivative to determine the intervals where the function is concave up and the ones where it is concave down 6. Determine the x- and y-intercepts (if any) 7. Use this information to graph the function. Do not use the calculator to graph. Graphs from calculators will receive no credit. e2x-1 Find the critical points of y=- ^.
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