# Consider the leading term of the polynomial function. What is the end behavior of the graph? 2x^{7} - 8x^{6} - 3x^{5} - 3

The leading term is 2x^{7}. Since n is odd and a is positive, the end behavior is up and up.

The leading term is 2x^{7}. Since n is odd and a is positive, the end behavior is down and down.

The leading term is 2x^{7}. Since n is odd and a is positive, the end behavior is down and up.

The leading term is 2x^{7}. Since n is odd and a is positive, the end behavior is up and down.

**Solution:**

We can define a polynomial as:

P(x) = ax^{n} + bx^{n - 1} + …. + c

Where ax^{n} is the leading term.

The end behaviour is up and up if n is even and a is positive.

The end behaviour is down and down if n is even and a is negative.

The end behaviour is down and up if n is odd and a is positive.

The end behaviour is up and down if n is odd and a is negative.

It is given that

Polynomial P(x) = 2x^{7} - 8x^{6} - 3x^{5} - 3

Where 2x^{7} is the leading term

a = 2 and n = 7 which is odd.

As n is odd and a is positive, the end behaviour is down and up.

## Consider the leading term of the polynomial function. What is the end behavior of the graph? 2x^{7} - 8x^{6} - 3x^{5} - 3

**Summary:**

Considering the leading term of the polynomial function. The end behavior of the graph 2x^{7} - 8x^{6} - 3x^{5} - 3 is the leading term is 2x^{7}. Since n is odd and a is positive, the end behavior is down and up.

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