Question

Instructions: For the given polynomial, select eachstatement that applies regarding end behavior.

Answer 1

Solution:

Given:

$f(x)=-x^4-21x^2-2x+3$

To get the end behaviour of the polynomial, we plot the function using a graphing calculator and see how it behaves.

The function is graphed as shown in the image below,

From the image above, the vertex of the curve shows a rise towards the left.

Hence, the end behaviour is that it rises to the left.