Describe the graph of the function f(x) = x3 − 15x2 + 68x − 96. Include the y-intercept, x-intercepts, and the shape of the graph.

- Barrelracing

- schrodinger

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- Barrelracing

x- (3,0)
y- (0, -96)

- Nnesha

highest degree is 3 so thats mean there supposed to be *3* solutions (x-intercept , zeros )

- Barrelracing

well I already found the x and y intercept I just don't know what the graph looks like.

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## More answers

- Nnesha

yea
so i'm saying there isn't only one x-intercept
x-interceptS!

- Barrelracing

oh sorry read it wrong

- anonymous

This is when a graphing calculator will come in handy

- Nnesha

for the direction
if highest degree is 3
then if leading coefficient is negative ( right end will fall , and left end will rise )
and if leading coefficient is POSITIVE ( right end rise and left end will fall)

- Nnesha

and yes for x-intercepts better to graph that equation
otherwise too much work to do!

- Barrelracing

I'm so confused

- Nnesha

are you allowed to use a calculator ?

- Nnesha

http://www.wolframalpha.com/ graph t

- Nnesha

or https://www.desmos.com/

- Barrelracing

yes

- Barrelracing

ok I put in desmos

- Nnesha

cool so point where line cross x-axis is x-intercept

- nincompoop

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- nincompoop

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- nincompoop

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- Barrelracing

do I plug 3,4 and 8 into the equation?

- Nnesha

you can plug them into the equation to check your answer
but you don't have to
there are 3 points where line lince cross x-axis
so 3, 4 8 = x-intercepts

- Barrelracing

ok how do I find the y intercept

- Nnesha

\(\color{blue}{\text{Originally Posted by}}\) @Barrelracing
y- (0, -96)
\(\color{blue}{\text{End of Quote}}\)
y-intercept is correct
point where line cross the y-axis

- Barrelracing

how I find the shape of the graph?

- Nnesha

look at the first drawing
that's the original graph of y=x^3 equation

- Barrelracing

thank you

- Nnesha

\(\color{blue}{\text{Originally Posted by}}\) @Nnesha
for the direction
if highest degree is 3
then if leading coefficient is negative ( right end will fall , and left end will rise )
and if leading coefficient is POSITIVE ( right end rise and left end will fall)
\(\color{blue}{\text{End of Quote}}\)
for direction
one side will rise opposite side will fall

- Nnesha

my pleasure

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