Question

Consider the graph of the cosine function shown below.

Answer 1

Answer:

a. Amplitude: 4

Period: 1

b. The maximum values occur at $\theta=0,1,2$

The minimum values occur at $\theta=\frac{1}{2},\frac{3}{2}$

The zeros occur at $\theta=\frac{1}{4},\frac{3}{4},\frac{5}{4},\frac{7}{4}$

Step-by-step explanation:

We can see from the graph that;

$-4\le f(x) \le 4$.

This implies that;

$|A|=4$.

The amplitude is 4.

The function also completed one full cycle on the interval [0,1]

The period is

$T=|1-0|=1$

The maximum values occur at $\theta=0,1,2$

The minimum values occur at $\theta=\frac{1}{2},\frac{3}{2}$

The zeros occur at $\theta=\frac{1}{4},\frac{3}{4},\frac{5}{4},\frac{7}{4}$

This is where the graph intersected the x-axis.