Answer:
a. Amplitude: 4
Period: 1
b. The maximum values occur at [tex]\theta=0,1,2[/tex]
The minimum values occur at [tex]\theta=\frac{1}{2},\frac{3}{2}[/tex]
The zeros occur at [tex]\theta=\frac{1}{4},\frac{3}{4},\frac{5}{4},\frac{7}{4}[/tex]
Step-by-step explanation:
We can see from the graph that;
[tex]-4\le f(x) \le 4[/tex].
This implies that;
[tex]|A|=4[/tex].
The amplitude is 4.
The function also completed one full cycle on the interval [0,1]
The period is
[tex]T=|1-0|=1[/tex]
The maximum values occur at [tex]\theta=0,1,2[/tex]
The minimum values occur at [tex]\theta=\frac{1}{2},\frac{3}{2}[/tex]
The zeros occur at [tex]\theta=\frac{1}{4},\frac{3}{4},\frac{5}{4},\frac{7}{4}[/tex]
This is where the graph intersected the x-axis.