If the function is periodic find the midline amplitude and p

If the function is periodic, find the midline, amplitude and period for it, if not, say not periodic.

Solution

(a) Solution : The function is periodic.

(a) Midline

y = (maximum+minimum)/2 = [5+(-1)] / 2

or

y = 2 is the midline. The horizontal axis about which the graph is periodic is known as midline.

                                                                                Ans

Amplitude

A = (maximum-minimum)/2 = [5-(-1)] / 2

A = 3 Amplitude                                                 Ans

Period = 2.                                                           Ans

(b) Solution : The function is not periodic.