anonymous
  • anonymous
Describe the graph of the function f(x) = x3 − 11x2 + 36x − 36. Include the y-intercept, x-intercepts, and the shape of the graph.
Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
@SolomonZelman
anonymous
  • anonymous
@mayankdevnani
anonymous
  • anonymous
@Nnesha

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More answers

Nnesha
  • Nnesha
x-intercept is a point where line cross x-axis when y=0 so substitute y for 0 to find x-intercept y-intercept is a point where line cross y-axis when x=0 so substitute x for 0 to find y-intercept
anonymous
  • anonymous
but i dont see any y's so how can i make it a 0?
Nnesha
  • Nnesha
f(x) is same as y so it's \[\huge\rm y=x^3-11x^2+36x-36\]
anonymous
  • anonymous
oh ok
anonymous
  • anonymous
so when x=0 y=-36
anonymous
  • anonymous
right?
Nnesha
  • Nnesha
and for the shape when the highest degree is odd: if the leading coefficient is positive `Graph falls to the left and rises to the right` if the leading coefficient is negative then `graph rises to the left and falls to the right `
Nnesha
  • Nnesha
right
anonymous
  • anonymous
but how do i solve for y tho? @Nnesha
Nnesha
  • Nnesha
you already solved for y
anonymous
  • anonymous
not y i meant x
anonymous
  • anonymous
cause its 0=x3 − 11x2 + 36x − 36
Nnesha
  • Nnesha
factor by grouping and then set it equal to zero
anonymous
  • anonymous
(x - 2) • (x - 3) • (x - 6)
anonymous
  • anonymous
right
anonymous
  • anonymous
you still there
Nnesha
  • Nnesha
well u can't apply the group method
Nnesha
  • Nnesha
how did you get that ? calculator ?
anonymous
  • anonymous
ya
Nnesha
  • Nnesha
hmm alright set them equal to zero then solve for x
anonymous
  • anonymous
its -36
Nnesha
  • Nnesha
that's y-intercept
Nnesha
  • Nnesha
(x - 2) • (x - 3) • (x - 6)=0 so x-2 =0 x-3=0 x-6=0 now solve for x
anonymous
  • anonymous
so ad 2 6 and 3?
anonymous
  • anonymous
x=11
Nnesha
  • Nnesha
don't add
Nnesha
  • Nnesha
there supposed to be 3 x-intercepts bec highest degree is 3
anonymous
  • anonymous
oh ok
anonymous
  • anonymous
x=3 x=2 x=6
anonymous
  • anonymous
is that it
Nnesha
  • Nnesha
yes right
anonymous
  • anonymous
ok what is this last part Describe the graph of the function?
anonymous
  • anonymous
nvm we answered that already
anonymous
  • anonymous
thank you for the help
Nnesha
  • Nnesha
np

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