# Thread: How do you show that it is not possible to find a value for a nonzero constant

1. ## How do you show that it is not possible to find a value for a nonzero constant

How do you show that it is not possible to find a value for a nonzero constant (a) so that f meets the requirement: at x=4, the value of the function is 1 and the slope of the graph of the function is 1.

f(x) = ax2 where a is a nonzero constant

2. ## Re: How do you show that it is not possible to find a value for a nonzero constant

$f(4) = 16a = 1 \implies a = \frac{1}{16}$

$f'(4) = 8a = 1 \implies a = \frac{1}{8}$

looks like a contradiction to me ...