7. f(x)=4 + 2sin(x)\namplitude: ____\nmidline: ____

Explanation:

Step1: Recall amplitude formula

For a function of the form $y = A\sin(x)+k$, the amplitude is $|A|$. In $f(x)=4 + 2\sin(x)$, $A = 2$, so the amplitude is $|2|=2$.

Step2: Recall mid - line formula

For a function of the form $y=A\sin(x)+k$, the mid - line is $y = k$. In $f(x)=4 + 2\sin(x)$, $k = 4$, so the mid - line is $y = 4$.

Answer:

Amplitude: 2 Midline: $y = 4$