Describe the similarities between a) the lines y = x and y = -x and the graphs of other odd-degree polynomial functions b) the parabolas y=x^{2} and y=-x^{2} and the graphs of other even-degree polynomial functions

arenceabigns 2021-01-07 Answered
Describe the similarities between a) the lines y=xandy=x and the graphs of other odd-degree polynomial functions b) the parabolas y=x2andy=x2 and the graphs of other even-degree polynomial functions
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Expert Answer

Bertha Stark
Answered 2021-01-08 Author has 96 answers

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 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 y=x
Step 2

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Step 3

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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 y=x2.
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 y=x2
Step 5
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Step 6
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Answer:
a) Graph of odd-degree polynomial functions and the lines y=xandy=x
b) Graph of even-degree polynomial functions and the lines y=x2andy=x2

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