Question

What is the end behavior of the graph of the polynomial function f(x)

Answer 1

f(x) approaches infinity as x approaches infinity

Step-by-step explanation:

Given

`f(x) = 3x^6 + 30x^5+ 75x^4`

Required

The end behavior of the graph

We have:

`f(x) = 3x^6 + 30x^5+ 75x^4`

The above expression implies that:

`f(x) = 3x^6 + 30x^5+ 75x^4`

The leading coefficient is 3 (3 is positive)

And the degree of the polynomial is 6 (6 is even)

When the leading coefficient is positive and the degree is even; the end behavior of the function is:

`x \to \infty`

`f(x) \to \infty`