contestada

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

Respuesta :

Solution

The general formula

[tex]y=A\text{ cos(fx) +B}[/tex]

The frequency f can be solved by

[tex]\begin{gathered} f=\frac{2\pi}{T}=\frac{2\pi}{(\frac{\pi}{2})} \\ f=4 \\ \end{gathered}[/tex]

Now, the function is now

[tex]y=\text{Acos (4x)+B}[/tex]

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

The minimum

Otras preguntas