Question: Suppose f(x) is a function satisfying the following: f'(x) <0on(,2)U(3,8) f'(x)>0on(2,3)U(8,) 1)f(x)hasalocalminimumatx=2andatx=3 2)f(x)hasalocalminimumatx=2andx=8 3)f(x)hasalocalminimumatx=3andx=8 4)f(x)hasapointofinflectiononinterval(,2) 5)f(x)haspointsofinflectiononintervals(2,3)and(3,8) Choose the statements that best describe the graph of

Suppose f(x) is a function satisfying the following:

f'(x)<0on(,2)U(3,8)

f'(x)>0on(2,3)U(8,)

1)f(x)hasalocalminimumatx=2andatx=3

2)f(x)hasalocalminimumatx=2andx=8

3)f(x)hasalocalminimumatx=3andx=8

4)f(x)hasapointofinflectiononinterval(,2)

5)f(x)haspointsofinflectiononintervals(2,3)and(3,8)

Choose the statements that best describe the graph of f(x).

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