Question

Number 37 match the function with its graph of its end behavior

Answer 1

We are given the function:

`f(x)=(2x^4-x^3+x^2-1)/(2-x)`

It's required to find the end behavior of the function and match it with a graph.

It's clear that being the degree of the polynomial of the numerator greater than the degree of the polynomial of the denominator, the function tends to be plus or minus infinite.

The trend of the function can be obtained by dividing the term with the highest degree in the numerator by the term with the highest degree in the denominator:

`(2x^4)/(-x)=-2x^3`

This corresponds to a cubic function with a negative leading coefficient.

The graph of this function can be matched with option (d)