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Which graph shows a polynomial function with a negative leading coefficient?

Which graph shows a polynomial function with a negative leading coefficient?-example-1
Which graph shows a polynomial function with a negative leading coefficient?-example-1
Which graph shows a polynomial function with a negative leading coefficient?-example-2
Which graph shows a polynomial function with a negative leading coefficient?-example-3
Which graph shows a polynomial function with a negative leading coefficient?-example-4
User Wasmachien
by
6.3k points

2 Answers

3 votes

Answer:a

Explanation:

User SurajKj
by
6.8k points
6 votes

Answer:

The first graph. (an upside down U)

Explanation:

The leading coefficient of a polynomial determines the direction of the graph's end behavior.

A positive leading coefficient has the end behavior point up when an even degree and point opposite directions when an odd degree with the left down and the right up.

A negative leading coefficient has the end behavior point down when an even degree and point opposite directions when an odd degree with the left up and the right down.

This graph has two evens. Because its negative, only one is possible - the first graph.

The other two graphs are odd with both starting down on the left and point up on the right which is a positive leading coefficient. These are not possible graphs.

The first graph is the solution.


User Magpie
by
6.6k points
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