Analyze and sketch a graph of the function. Find any intercepts, relative extrema, and points of inflection. (Order your answers from smallest to largest x, then from If an answer does not exist, enter DNE.) f(x)=x√ 36-x² (x, y) = intercepts relative minimum relative maximum point of inflection (x, y) = (x, y) = (x, y) = (x, y) = (x, y) = 0,0 Find the equations of the asymptotes. (Enter your answers as a comma-separated list of equations. If an answer does not exist, enter DNE.) Use a graphing utility to verify your results.

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.
Chapter3: The Derivative
Section3.4: Definition Of The Derivative
Problem 1YT: YOUR TURN For the graph of f(x)=x2x, a find the equation of the secant line through the points where...
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Analyze and sketch a graph of the function. Find any intercepts, relative extrema, and points of inflection. (Order your answers from smallest to largest x, then from smallest to largest y.
If an answer does not exist, enter DNE.)
f(x)=x√ 36x²
intercepts
relative minimum.
relative maximum
point of inflection
(x, y) =
(x, y) =
(x, y) =
(x, y) =
(x, y) =
(x, y) =
0,0
Find the equations of the asymptotes. (Enter your answers as a comma-separated list of equations. If an answer does not exist, enter DNE.)
Use a graphing utility to verify your results.
Transcribed Image Text:Analyze and sketch a graph of the function. Find any intercepts, relative extrema, and points of inflection. (Order your answers from smallest to largest x, then from smallest to largest y. If an answer does not exist, enter DNE.) f(x)=x√ 36x² intercepts relative minimum. relative maximum point of inflection (x, y) = (x, y) = (x, y) = (x, y) = (x, y) = (x, y) = 0,0 Find the equations of the asymptotes. (Enter your answers as a comma-separated list of equations. If an answer does not exist, enter DNE.) Use a graphing utility to verify your results.
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