Suppose f is a function that satisfies all the following conditions. f'(x)>0 if -3 6; f"(x) = e2**7 if x<-3; (i) (ii) %3D f'(x)%3D-3 if 30 if 0 6; lim f(x)=-15 and lim f (x)= 12%3; (ii) (iv) (v) (vi) X→ーの X→の f is continuous on (-o, o); f is not differentiable at x 3 and x 6; (vii) (viii) (ix) f (0) = f(6) = 0. Sketch a graph of the function f. Label the asymptote(s) and intercept(s) where %3D %3D applicable.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Suppose f is a function that satisfies all the following conditions.
f'(x)>0 if -3 <x<3 or x> 6;
f"(x) = e2**7 if x<-3;
(i)
(ii)
%3D
f'(x)%3D-3 if 3<x<6;
f"(x)>0 if 0<x < 3;
f"(x)<0 if -3 <x <0 or x> 6;
lim f(x)=-15 and lim f (x)= 12%3;
(ii)
(iv)
(v)
(vi)
X→ーの
X→の
f is continuous on (-o, o);
f is not differentiable at x 3 and x 6;
(vii)
(viii)
(ix) f (0) = f(6) = 0.
Sketch a graph of the function f. Label the asymptote(s) and intercept(s) where
%3D
%3D
applicable.
Transcribed Image Text:Suppose f is a function that satisfies all the following conditions. f'(x)>0 if -3 <x<3 or x> 6; f"(x) = e2**7 if x<-3; (i) (ii) %3D f'(x)%3D-3 if 3<x<6; f"(x)>0 if 0<x < 3; f"(x)<0 if -3 <x <0 or x> 6; lim f(x)=-15 and lim f (x)= 12%3; (ii) (iv) (v) (vi) X→ーの X→の f is continuous on (-o, o); f is not differentiable at x 3 and x 6; (vii) (viii) (ix) f (0) = f(6) = 0. Sketch a graph of the function f. Label the asymptote(s) and intercept(s) where %3D %3D applicable.
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