What is the amplitude and period of the following function? where does this function hit the x-axis?

Hello!

Amplitude is the maximum displacement on the graph of a function.

Period is the displacement of x at which the graph of a function begins to repeat.

We can find the period of a circular function by using the formula: .

The amplitude is 6 because it causes the displacement of the graph to change. Therefore, the domain becomes -6 ≥ x ≥ 6.

To find the period, we use the formula , and we substitute the values into the equation. The value B, is 1/3.

This can be simplified into 6π.

Since the periodicity is 6π, the graph hits the x-axis at intervals of 3π and -3π, and the graph also hits the x-axis at the origin.

Therefore, the amplitude of the function is 6, the period is 6π, and the function hits the x-axis during intervals of 3π.

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0