Question 11 Unsaved

Find the domain, period, range, and amplitude of the cosine function.

y = - 6cos4x

For this case we have the following function:

y = - 6cos4x

The function is defined for all values of x, therefore, the domain is:

(-inf, inf)

The range of the function is:

For x = 0

y = - 6cos (4 (0))

y = - 6cos (0)

y = - 6 (1)

y = - 6

For x = pi / 4

y = - 6cos (4 (pi / 4))

y = - 6cos (pi)

y = - 6 (-1)

y = 6

The range of the function is:

[-6, 6]

The amplitude of the function is:

6

Answer:

Domain: (-inf, inf)

Range: [-6, 6]

Amplitude: 6