Step 1

a)

Step 2

b) Periodic function: A function with a graph that repeats identically smoothly from left to right. It can be represented by \(\displaystyle{f{{\left({x}\right)}}}={f{{\left({x}\ +\ {p}\right)}}}{>}\)

There is no the end points for the periodic functions and have uncountable number from the turning points (local maximum and local minimum points).

The graphs of polynomial functions are continuous, and smooth graphs.

The turning points and the behavior of polynomial function graphs depend mainly on its degree.

a)

Step 2

b) Periodic function: A function with a graph that repeats identically smoothly from left to right. It can be represented by \(\displaystyle{f{{\left({x}\right)}}}={f{{\left({x}\ +\ {p}\right)}}}{>}\)

There is no the end points for the periodic functions and have uncountable number from the turning points (local maximum and local minimum points).

The graphs of polynomial functions are continuous, and smooth graphs.

The turning points and the behavior of polynomial function graphs depend mainly on its degree.