The function f(x)=3x^3+x^2+2x rises as x grows very large. A. True B. False

Question

The function
`f(x)=3x^3+x^2+2x` rises as x grows very large.

A. True
B. False

Answer 1

A. True

Explanation:

The given function is;

`f(x)=3x^3+x^2+2x`

The leading coefficient of this polynomial function is positive.

The degree of the polynomial is odd.

This implies that, the function will rise on the left and keep rising on the right.

Hence, the end behavior of the function tells us that, the function rises as x-values grow very large.

The correct option is True