Question

The graph of a sinusoidal function has a maximum point at (0,7) and then intersects its midline at (3,3).

Answer 1

Answer:

Step-by-step explanation:

A sinusoidal function is generally written as

f(x) = A•Cos(wx)

Where

A is the amplitude

w Is the frequency

Then,

Given that,

at x = 0 f(x) = 7

Then,

f(x) = A•Cos(wx)

7 = A•Cos0

7 = A

A = 7

Also, at x = 3, f(x) = 3

f(x) = A•Cos(wx)

f(x) = 7•Cos(wx)

3 = 7•Cos(3w)

Cos(3w) = 3 / 7

3w = 1.13 rad

w = 1.13rad/3

w = 0.38rad

Then,

f(x) = A•Cos(wx)

f(x) = 7•Cos(0.38x)