Step 1

The graphs of the Odd Degree Polynomial Functions will depend mainly on the Leading Coefficient.

If it is Positive the graph will expand feom quadrant 3 to quadrant 1 i.e. like to the graph of \(\displaystyle{y}={x}\)

On the other hand, If it is Negative the graph will expand from quadrant 2 to quadrant 4 i.e. like to the graph of \(\displaystyle{y}=-{x}\)

Step 2

196103008641.jpg

Step 3

196103008642.jpg

Step 4 The Graphs of the Even Degree Polynomial Functions will depend mainly on the Leading Coefficient.

If it is Positive the graph will expand from quadrant 2 to quadrant 1 i.e. like to the graph of PSKy=x^{2}.

On the other hand, If it is Negative the graph will expand from quadrant 3 to quadrant 4 i.e. like to the graph of \(\displaystyle{y}=-{x}^{{{2}}}\)

Step 5

Step 6

Answer:

a) Graph of odd-degree polynomial functions and the lines \(\displaystyle{y}={x}{\quad\text{and}\quad}{y}=-{x}\)

b) Graph of even-degree polynomial functions and the lines \(\displaystyle{y}={x}^{{{2}}}{\quad\text{and}\quad}{y}=-{x}^{{{2}}}\)

The graphs of the Odd Degree Polynomial Functions will depend mainly on the Leading Coefficient.

If it is Positive the graph will expand feom quadrant 3 to quadrant 1 i.e. like to the graph of \(\displaystyle{y}={x}\)

On the other hand, If it is Negative the graph will expand from quadrant 2 to quadrant 4 i.e. like to the graph of \(\displaystyle{y}=-{x}\)

Step 2

196103008641.jpg

Step 3

196103008642.jpg

Step 4 The Graphs of the Even Degree Polynomial Functions will depend mainly on the Leading Coefficient.

If it is Positive the graph will expand from quadrant 2 to quadrant 1 i.e. like to the graph of PSKy=x^{2}.

On the other hand, If it is Negative the graph will expand from quadrant 3 to quadrant 4 i.e. like to the graph of \(\displaystyle{y}=-{x}^{{{2}}}\)

Step 5

Step 6

Answer:

a) Graph of odd-degree polynomial functions and the lines \(\displaystyle{y}={x}{\quad\text{and}\quad}{y}=-{x}\)

b) Graph of even-degree polynomial functions and the lines \(\displaystyle{y}={x}^{{{2}}}{\quad\text{and}\quad}{y}=-{x}^{{{2}}}\)