150,244 views
1 vote
1 vote
Identify whether the function has an off or even degree.

Identify whether the function has an off or even degree.-example-1
User ClosureCowboy
by
2.4k points

1 Answer

21 votes
21 votes

In a polynomial, we have the leading coefficient and whether the degree of the polynomial is positive or negative can be inferred from its graph. We have the following possibilities.

1. Even degree and positive leading coefficient. Both ends of the graph will point upwards, like this:

2. Even degree and negative leading coefficient. Both ends of the graph point downwards, like this:

3. Odd degree and positive leading coefficient. The left end will point downwards and the right end will point upwards, like this:

4. Odd degree and negative leading coefficient. The left end will point upwards and the right end downwards, like this:

We notice that in the given graph the left endpoints downwards and the right end upwards, therefore, it has an odd degree and positive leading coefficient.

Identify whether the function has an off or even degree.-example-1
Identify whether the function has an off or even degree.-example-2
Identify whether the function has an off or even degree.-example-3
Identify whether the function has an off or even degree.-example-4
User AlphaOmega
by
2.7k points