Question 1039052: I would very appreciate of any help you can offer! I'm having difficulty w/ this problem that illustrates two graphs and asks the following questions:
Graph A has x intercepts of about -1.5 and 1.5 with a y intercept of -1, but also has two points below the x axis of (-1, -3) and (1, -2) approximately.
Graph B has x intercepts of -2, .5, 2, 3 and 5.5. y intercept of -1 and points of approximately (-2, -6), (1,.5), (2.5, -.5), (5, 5)
I'm asked:
Is the degree of the polynomial odd or even?
Is the leading coefficient of the polynomial positive or negative?
How many real number zeros are there?
I would really appreciate any help you can offer, thank you!
Answer by josgarithmetic(39618)   (Show Source):
You can put this solution on YOUR website! Comments About Graph A:
With just that bare amount of information, the shape makes W, suggesting two local minimums and one local maximum between them.
DEGREE HUMP
1 0
2 1
3 2
4 3
Three max or mins, three "humps"; so degree 4. This is EVEN.
Increases to the left as x tends toward infinity and increases to the right as x tends toward infinity. This means lead coefficient is positive.
Two x-intercepts described, so TWO REAL ZEROS.
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