Question

F(x) = 5 sin(3x)

The function q(x) is a sine function whose graph has a maximum value of 9 and a minimum value of 1.
Which statement is true?
6
*
O The amplitude of f(x)
is 1 unit larger than the amplitude of g(x).
O The amplitude of g(2)
is 4 units larger than the amplitude of f(X)
O The amplitude of g(2)
is 1 unit larger than the amplitude of f(x)
O The amplitude of f(2)
is 4 units larger than the amplitude of g(x).

Answer 1

O The amplitude of f(x) is 1 unit larger than the amplitude of g(x).

Explanation:

The amplitude of f(x) = 5 sin(3x) is |-5 - 5|/2 = 5.

The amplitude of function g(x) is |9 - 1|/2 = 4.

Answer: O The amplitude of f(x) is 1 unit larger than the amplitude of g(x).