Answer:
Period: [tex]\pi[/tex]
Midline: y = -3
Amplitude: 4
Range: [-7, 1]
Step-by-step explanation:
Period - from one peak to the next (or from one trough to the next)
⇒ Period: [tex]\pi[/tex]
Midline - center line
Range = -7 ≤ f(x) ≤ 1
[tex]\implies \sf midline =\dfrac{1-(-7)}{2}+(-7)=-3[/tex]
⇒ Midline: y = -3
Amplitude - height from the center line to the peak (or to the trough)
Maximum height: y = 1
center line: y = -3
Therefore, amplitude = 1 - (-3) = 4
Range - the set of all values that the function takes
-7 ≤ f(x) ≤ 1 → [-7, 1]
