When an odd function has a negative leading coefficient, what happens to the graph?
a. The graph is a line.
b. The graph is the steeper.
c. The left end of the graph is going in a positive direction and the right end is going in a negative direction.
d. The left end of the graph is going in a negative direction and the right end is going in a positive direction.
2007-12-16 08:27:18 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
The reference to a leading coefficient implies that were are describing a polynomial equation. For a polynomial equation to be odd, it must be of odd order. For an odd exponent with a negative coefficient, a negative value for x returns a positive value for y because x^n is negative for negative x and odd integer n, and multiplying by a negative coefficient makes the value positive. Accordingly, the value of y for positive x would be negative. Thus, answer c) is correct.
2007-12-16 08:30:35 · answer #1 · answered by DavidK93 7 · 0⤊ 0⤋
actually it depends on how the odd function looks like.. but if the left end is going negative and the right positive then your answer is C but if the left end is positive and the right one negative then the answer is D
2016-05-24 05:59:22 · answer #2 · answered by Anonymous · 0⤊ 0⤋
that would be c.
think about y=mx+b and if the slope is negative -- same thing!
that's it! :)
2007-12-16 08:30:45 · answer #3 · answered by Marley K 7 · 1⤊ 0⤋