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the y intercept occurs when x = 0
so what do you think the y-intercepts is?

how would I find the Y intercept?

plug in x = 0 and work it out

0^3 - 18(0)^2 + 101(0) - 180 = ?

y=180?

-180

so x=0 and y=-180 how would I figure out the shape of the graph?

so far I got 180=x^3 - 18^2 + 101x

or we might be able to factor by grouping which would be a lot quicker:-
x3 − 18x2 + 101x − 180

I got 3 answers and I don't know which one is right
x = 9
x = 5
x = 4

nope cant do it that way

how did you get those?

- they might all be right. A cubic equation will have 3 roots.

f(5) = 5^3 - 18(25) + 101(5) - 180 = 0
yes 5 is a root

im so confused, so x would be 5 and y is -180

did you get a calculator or wolfram to do it?

no x = 5 when y = 0

how did you get those 3 roots They are all correct I just checked them on my calc.

I couldn't figure it out so I used a calculator

so the shape is a loop?

|dw:1441220571153:dw|

either like that

or like this
|dw:1441220677250:dw|

f(3) = -12
so it will be the first one

|dw:1441220810360:dw|

wow thank you so much!

yw

guess you should include the y intercept
|dw:1441220974136:dw|

- in fact i need not have found f(3) because the y intercept was negative anyway

- it had to be the first shape not the second. - i'd forgotten about the y-intercept