Identify the end behaviour of of the following:

Question

Identify the end behaviour of

Note:

Please write neatly and clearly.

Grade 12 Advanced Function.

Answer 1

Hi Math, China correctly pointed out that the function is even, but didn’t mention that it’s negative, so it will go negative infinite for x going both positive and negative infinite.

Answer 2

When we are identifying the end behavior of a polynomial, what we are looking for is the degree.

The degree can only be odd, or even.

we look for the term with the largest exponent.

Negative 3X to the fourth power is the term with the largest exponent.

this exponent four is even.

The degree is four and is even and that is the end behavior