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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

Verified Answer :

Second option: down on the left, down on the right.

Clearly when x is bigger than one the term -x^38 will dominate the result.

When absolute value of x grows, x^38 becomes a larger positive number and - x^38 a larger negative number. Then both ends of the function tend to negative infinity.

Answer:

Down on the left, down on the right


Step-by-step explanation:

The degree is even and the leading coefficent is negative,hence the answer "Down on the left, down on the right"