Question

Describe the end behavior of the following function: F(x)=2x^4+x^3

Answer 1

Answer:

Rises to the left and rises to the right.

Step-by-step explanation:

Since, the given function is f(x)=$2x^{4}+x^{3}$, and the end behavior of the given function is determined as:

Consider the given function f(x)=$2x^{4}+x^{3}$, identify the degree of the function:

The degree of the function is : 4 which is even

And then identify the leading coefficient of the given function that is +2 which is positive in nature.

Hence, the function is positive and even in nature, therefore, the end behavior of the function will be rising to the left and rising to the right.