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19 votes
What is the end behavior of the polynomial function?

What is the end behavior of the polynomial function?-example-1
User Trevorc
by
3.1k points

2 Answers

6 votes
6 votes

Answer:

see image

Explanation:

For graphing 3rd, 4th, 5th, etc degree equations, it is important to know what happens at the ends of the graph (the graph goes on forever theoretically, but on our paper it ends)

This curve looks like a cubic, with an a<0. If you keep going to the left the curve keeps going up and up and up. In math we can say that as

x goes to negative infinity, y goes to infinity. See image.

If you look to the right side of the graph, if you keep going right, the curve keeps going down. That is, as

x goes to infinity, y goes to negative infinity. See image.

What is the end behavior of the polynomial function?-example-1
User Amit Bens
by
2.6k points
24 votes
24 votes

Answer:

as x -> infinity, f(x) -> negative infinity

as x -> negative infinity, f(x) -> infinity

Explanation:

User Aldenn
by
2.6k points
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