The shape of a roller coaster is modeled by a polynomial function, R(x). Describe how to find the x-intercepts of R(x) and how to construct a rough graph of R(x) so that the engineer can predict when there will be no change in the direction of the coaster. You may create a sample polynomial of degree 3 or higher to use in your explanations.

Question

janu16 · Answer

@misty1212

misty1212 · Answer

HI!

janu16 · Answer

hey

misty1212 · Answer

wow that looks good to me, i don't see what else you need

janu16 · Answer

i need help with how to construct a graph

janu16 · Answer

i need to explain in words

misty1212 · Answer

here is a nice picture http://www.wolframalpha.com/input/?i=+%28x-1%29+%28x%2B1%29+%28x-2%29

misty1212 · Answer

as you made it, it is zero at $$-1,1,2$$ so it crosses the x axis there

misty1212 · Answer

it is a polynomial of degree 3 with positive leading coefficient,, so you know it goes up, then down, then up

janu16 · Answer

yess so thats all?

misty1212 · Answer

i guess so, the last part about where you can predict it goes up and down, you can see from the graph 
that is the point of the graph
otherwise you would need calculus

janu16 · Answer

Thank you so mch!

misty1212 · Answer

$$\color\magenta\heartsuit$$
(you did all the work!)