Question

Consider the leading term of the polynomial function. What is the end behavior of the graph?
-3x5 + 9x4 + 5x3 + 3

Answer 1

The leading term is -3x5. Since n is odd and a is negative the end behavior is up and up
b. The leading term is -3x5. Since n is odd and a is negative the end behavior is down and down
c. The leading term is -3x5. Since n is odd and a is negative the end behavior is up and down
d. The leading term is -3x5. Since n is odd and a is negative the end behavior is down and up

Answer 2

this might help
http://www.wolframalpha.com/input/?i=-3x%5E5+%2B+9x%5E4+%2B+5x%5E3+%2B+3
other than that, I failed that chapter in school so don't mind me :P

Answer 3

Ask yourself, what happens to the value of \(\large -3x^5\) as x gets very big (goes to +infinity) and as x gets very small (goes to -infinity).

If you plug in a BIG positive value of x, \(\large x^5\) is what? (positive or negative?)
THEN, you multiply THAT by -3, so you have WHAT? (a positive, or a negative, number?)

That tells you the behavior at the positive end of the x-axis.


If you plug in a "BIG" negative value of x, \(\large x^5\) is what? (positive or negative? here it matters that the exponent is ODD.)
THEN, you multiply THAT by -3, so you have WHAT? (a positive, or a negative, number?)

That tells you the behavior at the negative end of the x-axis.

Answer 4

well the greatest degree tell us wheter the equation is odd or even since the term with the highest degreee is -3x^5 the degree=5 so the equation is odd
with positive odd behavior both sides are opposite and are down up but when it is negative, due to the first coefficient being -3, the behavoir is up then down, which means the answer is C