Barrelracing
  • Barrelracing
Describe the graph of the function f(x) = x3 − 15x2 + 68x − 96. Include the y-intercept, x-intercepts, and the shape of the graph.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Barrelracing
  • Barrelracing
x- (3,0) y- (0, -96)
Nnesha
  • Nnesha
highest degree is 3 so thats mean there supposed to be *3* solutions (x-intercept , zeros )
Barrelracing
  • 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
  • Nnesha
yea so i'm saying there isn't only one x-intercept x-interceptS!
Barrelracing
  • Barrelracing
oh sorry read it wrong
anonymous
  • anonymous
This is when a graphing calculator will come in handy
Nnesha
  • 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
  • Nnesha
and yes for x-intercepts better to graph that equation otherwise too much work to do!
Barrelracing
  • Barrelracing
I'm so confused
Nnesha
  • Nnesha
are you allowed to use a calculator ?
Nnesha
  • Nnesha
http://www.wolframalpha.com/ graph t
Nnesha
  • Nnesha
or https://www.desmos.com/
Barrelracing
  • Barrelracing
yes
Barrelracing
  • Barrelracing
ok I put in desmos
Nnesha
  • Nnesha
cool so point where line cross x-axis is x-intercept
nincompoop
  • nincompoop
|dw:1439417584062:dw|
nincompoop
  • nincompoop
|dw:1439417740795:dw|
nincompoop
  • nincompoop
|dw:1439417894065:dw|
Barrelracing
  • Barrelracing
do I plug 3,4 and 8 into the equation?
Nnesha
  • 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
  • Barrelracing
ok how do I find the y intercept
Nnesha
  • 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
  • Barrelracing
how I find the shape of the graph?
Nnesha
  • Nnesha
look at the first drawing that's the original graph of y=x^3 equation
Barrelracing
  • Barrelracing
thank you
Nnesha
  • 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
  • Nnesha
my pleasure

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