Answer:
Period: [tex]4\pi[/tex]
Midline: y = 2
Amplitude: 3
Range: [-1, 5]
Step-by-step explanation:
Period - from one peak to the next (or from one trough to the next)
⇒ Period: [tex]2\pi - (-2\pi )=4\pi[/tex]
Midline - center line
Range = -1 ≤ f(x) ≤ 5
[tex]\implies \sf midline =\dfrac{5-(-1)}{2}+(-1)=2[/tex]
⇒ Midline: y = 2
Amplitude - height from the center line to the peak (or to the trough)
Maximum height: y = 5
center line: y = 2
Therefore, amplitude = 5 - 2 = 3
Range - the set of all values that the function takes
-1 ≤ f(x) ≤ 5 → [-1, 5]
