Question

Without using technology, describe the end behavior of f(x) = −3x38 + 7x3 − 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 and right

Explanation:

Answer 2

Look at first term (term with the highest exponent).

If it is negative, then it will be Down on the Right.
If positive , then Up on the Right.

If Exponent is Even, then behavior on Left is SAME as Right.
If Odd, then behavior changes on Left.

For this example, it is negative with Even exponent, therefore the end behavior is Down on Left and Right.