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# Without using technology, describe the end behavior of f(x) = -3x^{38} + 7x^{3} - 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

**Solution:**

Given:

Function f(x) = -3x^{38 }+ 7x^{3} - 12x + 13

Consider the first term with the highest exponents

If it is negative it will be down on the right and if it is positive it will be up on the right.

If the exponent is even,

the behaviour on the left is same as right and if it is odd, the behaviour changes on the left.

In f(x) = -3x^{38} + 7x^{3} - 12x + 13

It is negative and even power.

The end behaviour is down on left and right.

Therefore, the end behaviour is down on left and right.

## Without using technology, describe the end behavior of f(x) = -3x^{38} + 7x^{3} - 12x + 13.

**Summary:**

The end behavior of f(x) = -3x^{38} + 7x^{3} - 12x + 13 is down on left and right.

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