what is the amplitude and period of the function shown below?

Explanation:

Step1: Define amplitude

Amplitude is half - the vertical distance between the maximum and minimum values. The maximum value of the function is 7 and the minimum is - 7. $A=\frac{7 - (-7)}{2}$

Step2: Calculate amplitude

$A=\frac{7 + 7}{2}=\frac{14}{2}=7$

Step3: Define period

The period is the horizontal distance between two consecutive identical points (e.g., two consecutive peaks). From the graph, one complete cycle occurs from $x = 0$ to $x = 4$. $T = 4$

Answer:

Amplitude: 7, Period: 4