Question

2. Analyze the following graph


a. What is the least possible degree of the polynomial function ?


b. What is the sign of the leading coefficient ?


c. How many turning points does the graph show?


d. What is the y-intercept of the graph?


e. Describe the end behavior of the graph.

Answer 1

Hey, so whenever a graph like that curves, it will have another degree. For parabolas, they have 2 degrees because they curve like that once, this one will have 3 at least. I'm not sure if that's entirely correct but that's how I learned it.

Answer 2

x→∞,y→-∞
x→-∞,y→∞

two x intercepts, one y-intercept.

Answer 3

I'm not sure about part b, but for c you can see it has 2 turning points, d is just wherever the graph touches the y-axis, so that's ~ 0 t looks like.

Answer 4

e, you can see the graph ends in opposite directions of each other. I hope I helped :D

Answer 5

And also, for b i'm pretty sure it would be negative because the graph has a negative slope at that point.

Answer 6

Is that all?

Answer 7

i just got back'

Answer 8

@reckias

Answer 9

any idea on a?

Answer 10

yeah, a is 3 because it goes down, then up, then down, switching three times.

Answer 11

@chantz417