Question

Determine the end behavior of the following polynomial function: (x)=−12(x−4)+13(2−x)11. the leading term of polymonial is

Answer 1

The end behavior of the polynomial function is determined by the leading term.

Step-by-step explanation:

The given polynomial function is (x)=-12(x-4)+13(2-x)11.

The end behavior of a polynomial function is determined by the leading term, which is the term with the highest exponent.

In this case, the leading term is -12(x-4), which has an exponent of 1, as x is raised to the power of 1.

Since the exponent is odd, the end behavior of the function will be opposite for positive and negative values of x. As x approaches infinity, the function will go down to negative infinity, and as x approaches negative infinity, the function will go up to positive infinity.