Question

Without using technology, describe the end behavior of f(x) = −3x4 + 7x2 − 12x + 13.

Down on the left, down on the right
Down on the left, up on the right
Up on the left, down on the right
Up on the left, up on the right

Answer 1

Down on the left, down on the right

Explanation:

The given polynomial is an even function, which has an end behavior of y increasing regardless of whether x is increasing or decreasing. Since the leading coefficient is negative, the end behavior flips, and y decreases instead.

Therefore, "Down on the left, down on the right" is correct