The function g(x) = p sin x +q, where p>0, has a maximum value of 10 and a minimum value of -4. Find the value of p and of q.

Divenex asked Jan 18, 2023

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Divenex asked Jan 18, 2023

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16 votes

Answer:
p=7, q=3

Explanation:

The midline of the function is

$(10-4)/(2)=3 \implies q=3$

This means that to obtain a maximum of 10, when
$\sin x$ reaches it's maximum, 1,
$g(x)=p+q=10 \implies p=7$

Jaron answered Jan 22, 2023

by Jaron

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