Question

A sinusoidal function whose period is π2, maximum value is 10, and minimum value is −4 has a y-intercept of 10.What is the equation of the function described?f(x)=7cos(4x)+3f(x)=7cos(4πx)+3f(x)=7sin(4πx)+3f(x)=7sin(4x)+3

Answer 1

The general formula

`y=A\text{ cos(fx) +B}`

The frequency f can be solved by

`\begin{gathered} f=(2\pi)/(T)=(2\pi)/(((\pi)/(2))) \\ f=4 \\ \end{gathered}`

Now, the function is now

`y=\text{Acos (4x)+B}`

The maximum value of the cosine is 1, so cos (4x) is 1

The minimum