x'+8 The function f(x)=. has derivatives f'(x)-X-16 48 and f"(x)= (a) Determine the x- and y-intercepts. 40 (b) Determine the equations of any asymptotes and classify the behaviour at their endpoints. 5 (c) Determine the intervals of increase and decrease and classify any local extrema. (d) Determine the intervals of concavity and identify any points of -5 -10 10 inflection. (e) Complete the 2nd derivative test. -5 (f) Use this information to sketch the curve. Make sure all key features are clearly presented. 4.

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.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 7YT: YOUR TURN Find an equation of the curve whose tangent line has slope f(x)=3x1/2+4 and passes through...
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x' +8
The function f(x)=-
x'-16
has derivatives f'(x)%3=
48
and f"(x)=
(a) Determine the x- and y-intercepts.
10
(b) Determine the equations of any asymptotes and classify the
behaviour at their endpoints.
5
(c) Determine the intervals of increase and decrease and classify any
local extrema.
(d) Determine the intervals of concavity and identify any points of
-to
-5
10
inflection.
(e) Complete the 2nd derivative test.
(f) Use this information to sketch the curve. Make sure all key features
-5
are clearly presented.
-10
Transcribed Image Text:x' +8 The function f(x)=- x'-16 has derivatives f'(x)%3= 48 and f"(x)= (a) Determine the x- and y-intercepts. 10 (b) Determine the equations of any asymptotes and classify the behaviour at their endpoints. 5 (c) Determine the intervals of increase and decrease and classify any local extrema. (d) Determine the intervals of concavity and identify any points of -to -5 10 inflection. (e) Complete the 2nd derivative test. (f) Use this information to sketch the curve. Make sure all key features -5 are clearly presented. -10
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