AP Calculus

a continuous function f has domain (1,25) and range (3,30). if f'(x) is less than 0 for all x between 1 and 25, what is f(25)?
a)1
b)3
c)25
d)30
e)impossible to determine from the information given

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  1. draw a rectangle with vertices
    (1,30), (1,3), (25,3) and (25,30)

    notice domain is from 1 to 25
    and the range is from 3 to 30

    your graph must lie within that rectangle, and it is constantly decreasing. ( f' (x) < 0 )

    Since the domain ends at 25 and the range is as low as 3,
    (25,3) must be the endpoint of your graph

    so f(25) = 3

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    posted by Reiny

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