A certain function f is decreasing and concave down. In addition, f'(3)=-2 and f(3)=4. Which of the following are possible variables for f(2)? Select all that apply. Show all work.

A) 4
B) 5
C) 6
D) 7

Question

A certain function f is decreasing and concave down. In addition, f'(3)=-2 and f(3)=4. Which of the following are possible variables for f(2)? Select all that apply.  Show all work.

A) 4
B) 5
C) 6
D) 7

jim_thompson5910 · Answer

How is the function decreasing when f ' (3) = 4 ?

The positive 4 indicates that the function is increasing

jim_thompson5910 · Answer

also, you have f ' (3) defined twice

anonymous · Answer

I'm guessing the function is decreasing, but the derivative is increasing?

jim_thompson5910 · Answer

when they say "the function is decreasing" they mean it is decreasing over its entire domain which means f ' (x) < 0 for all x in the domain of f(x)

anonymous · Answer

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Is that what the problem is saying the graph would look like?