Question

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.

Answer 1

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

Explanation:

Answer 2

as the graph goes to -infinity, the y values decrease. As the graph goes to +infinity, the y values increase. since n is odd and a is positive, the end behavior is down and up, assuming the first direction means as it goes to -infinity and the second means as it goes to +infinity
rules
1. Find the term with the largest exponent.
2. If it positive, the right end behavior is UP ON THE RIGHT^
3. If it negative, the right end behavior is DOWNN ON THE RIGHT^
4. Find the largest exponent.
5. If it even, the left end behavior is THE SAME as the right end behavior.
6. If it is odd, the left end behavior is OPPOSITE that of the right end behavior
2x7 - 86 - 3x5 - 3 The term with the largest exponent is the first one, 2x7 It is POSITIVE,
right end behavior is up on the right.
The largest exponent is 7, which is ODD, so the left end behavior is OPPOSITE of the right end behavior, which is DOWN on the left