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

**JM24** · November 7th 2012, 03:55 PM

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

**skeeter** · November 7th 2012, 04:59 PM

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

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

looks like a contradiction to me ...

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

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