Question 8 For each part, draw a sketch of the graph of a function that satisfies each respective condition. (Please draw each part on separate coordinate planes). (a) f^(')(2)=0 and f^('')(2)0 and f has a domain of [-2, infty ) and f has a range of (- infty ,5]. (b) lim_(h-0)(f(x+h)-f(x))/(h)=-2 for int_0^2 f(x)dx=-4-1

Question

Question 8 For each part, draw a sketch of the graph of a function that satisfies each respective condition. (Please draw each part on separate coordinate planes). (a)

f^(')(2)=0

and

f^('')(2)>0

and

f

has a domain of

[-2,\infty )

and

f

has a range of

(-\infty ,5]

. (b)

\lim_(h->0)(f(x+h)-f(x))/(h)=-2

for

\int_0^2 f(x)dx=-4-1<=x<=0,f(x)x=-1,f(x)x=0f^(')(-0.5)=0f^(')(x)<0f^(')(2)=0f^(')(x)<02-\infty , and f^(')(2)=0, and f^(')(x)<0 for 2-\infty  and \int_0^2 f(x)dx=-4.
(c) For -1<=x<=0,f(x) has a global min at x=-1,f(x) has a global max at x=0, and f^(')(-0.5)=0.
(d) f^(')(x)<0 for -\infty , and f^(')(2)=0, and f^(')(x)<0 for 2

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