Question

Which function has the given properties below?

Answer 1

The given data are:

A function that:

The domain is the set of all real numbers
One x-intercept
The amplitude is 4
The y-intercept is (0,0)

From the choices, the functions containing "cosine" can be eliminated  since the described function passes through (0,0). So, we are left with two choices:

y = -4sin (x) and y = 4sin (x)

Given the amplitude of 4, the answer must be y = 4 sin(x)

Answer 2

The answer is A, y = –4sin(x).