Question

10 fill in the blank. 1 point find the amplitude of the function. amplitude = type your answer...

Explanation:

Step1: Recall the definition of amplitude

The amplitude of a sinusoidal function is the distance from the mid - line to the maximum (or minimum) value.

Step2: Determine the maximum and mid - line values

From the graph, the maximum value \(y = 6\) and the mid - line (average of maximum and minimum) can be found. The minimum value \(y=- 4\). The mid - line \(y=\frac{6+( - 4)}{2}=\frac{6 - 4}{2}=1\).

Step3: Calculate the amplitude

Amplitude \(=|6 - 1|=5\) (or \(|-4 - 1| = 5\))

Answer:

\(5\)