Following are the description on the function behavior:
Given:
[tex]\bold{f(x) = -3x^4 + 7x^2 - 12x + 13}[/tex]
To find:
Function behavior=?
Solution:
We use Power and Polynomial Functions features in the absence of technology. As the function [tex]\bold{f(x) = -3x^4 + 7x^2 -12x + 13}[/tex]
For final behaviour of power functions of such form[tex]\bold{f(x)=ax^n}[/tex] wherein n is a non-negative integer depends on the power and the constant.
So, the leading term, [tex]\bold{f(x)=-3x^4}[/tex]
When the negative constant and even power are:
[tex]\to x \to \infty\\\\\to f(x) \to -\infty[/tex]
At
[tex]x \to -\infty\\\\f(x) \to -\infty[/tex]
Therefore, the final answer is "Down on the left down on the right
"
Learn more:
brainly.com/question/13821048
