Chapter 9.4, Problem 62E

(a)

To determine

To find:Whether the graph represent a function.

Answer to Problem 62E

The graph represent the function $y=a\cos bx$ .

Explanation of Solution

Consider the given graph.

The graph passes through the vertical line $y=6$ and also there is no point $\left(0,0\right)$ .

So, the graph represent the function $y=a\cos bx$

Therefore, the graph represent the function $y=a\cos bx$ .

(b)

To determine

To identify: The maximum value, minimum value and the amplitude of the function.

Answer to Problem 62E

The maximum value is $5$ , minimum value is $-5$ , the period is $\frac{\pi }{2}$ and amplitude is $3$ .

Explanation of Solution

Consider the given figure.

The maximum value of the function is,

  $\text{Maximum}=5$

The minimum value of the function is,

  $\text{Minimum}=-5$

The period of the function is,

  $\text{Period}=\frac{\pi }{2}$

The amplitude of the function.

  $\text{Amplitude}=3$

Therefore, the maximum value is $5$ , minimum value is $-5$ , the period is $\frac{\pi }{2}$ and amplitude is $3$ .