find the amplitude of the sinusoidal function.\nsimplify any fractions.\namplitude =

Explanation:

Step1: Recall the formula for amplitude

The amplitude of a sinusoidal function (y = A\sin(x)+k) or (y = A\cos(x)+k) is given by (|A|). Also, amplitude (=\frac{\text{Maximum value}-\text{Minimum value}}{2})

Step2: Identify maximum and minimum values from the graph

From the graph, the maximum value of the function (f(x)) is (y = 5) and the minimum value is (y = 3)

Step3: Calculate the amplitude

Using the formula amplitude (=\frac{\text{Maximum value}-\text{Minimum value}}{2}), we substitute the values: (\frac{5 - 3}{2}=\frac{2}{2}=1)

Answer:

(1)