Question

Describe in words and symbols the end behavior of f(x)=−5x4

Answer 1

Explanation:

Answer 2

The graph is attached below.

Explanation:

Given the function

`f\left(x\right)=-5x^4`

Since the leading term of the polynomial (the term in a polynomial that contains the highest power of the variable) is -5x⁴, then the degree is 4, i.e. even, and the leading coefficient is -5, i.e. negative.

This means that f(x) → −∞ as x → −∞ and f(x)→−∞ as x→∞.

The graph is attached below.