Question

Consider the functions f(x)=−1.8cosx
and g(x)=−3.6cosx
. How do the amplitudes compare?(1 point)
Responses

The amplitude of g(x)
is two times the amplitude of f(x)
.
The amplitude of g of x is two times the amplitude of f of x .

The amplitude of g(x)
is half the amplitude of f(x)
.
The amplitude of g of x is half the amplitude of f of x .

The amplitude of g(x)
is 3.6 times the amplitude of f(x)
.
The amplitude of g of x is 3.6 times the amplitude of f of x .

The amplitude of g(x)
is two more than the amplitude of f(x)
.

Answer 1

Amplitude = absolute value of the coefficient. |−1.8| = 1.8 and |−3.6| = 3.6, so the amplitude of g(x) is two times the amplitude of f(x).