Pandemonium
  • Pandemonium
Which describes the graph of the polynomial function f(x) = (x – 2)(x – 4)(x + 1)? A. It falls to the left and rises to the right. B. It rises to the left and falls to the right. C. It rises to the left and to the right. D. It falls to the left and to the right.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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Pandemonium
  • Pandemonium
Really need help guys :(
butterflydreamer
  • butterflydreamer
do you know what it would look if you sketched it out? :)
Pandemonium
  • Pandemonium
mmmm not really :(

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More answers

butterflydreamer
  • butterflydreamer
okaay, well... immediately just by looking at your function, you should know that it is a "cubic" curve since there are three values for x... (like if you were to expand your brackets, you'd get x^3 ) \[f(x) = (x-2) ( x -4) ( x + 1) \] So first step is to identify whether your cubic curve would be positive or negative. So if you expanded the brackets, would you get \[x^3 or x ^{-3}\]
Pandemonium
  • Pandemonium
ahhhh ok i see now
butterflydreamer
  • butterflydreamer
|dw:1436534121953:dw|
butterflydreamer
  • butterflydreamer
Also, it is important to find your x-intercepts :) So \[y = (x -2) (x-4) (x+1)\] And we know x-intercepts occur at y= 0 \[(x - 2) ( x- 4) (x+1) = 0 \] Therefore, x-intercepts would be ?
Pandemonium
  • Pandemonium
mmmm i dont i know exactly how to calculate the answer correctly
butterflydreamer
  • butterflydreamer
it's basically like this: x - 2 = 0 , so x = ? x - 4 = 0 , therefore x = ? x + 1 = 0 , so x = ?
Pandemonium
  • Pandemonium
by the looks of it they would be 0?
butterflydreamer
  • butterflydreamer
not quite... |dw:1436534488742:dw|
Pandemonium
  • Pandemonium
no wait i see now, that would be 2
butterflydreamer
  • butterflydreamer
yessss :) so we do the same thing for the other parts: x - 2 = 0 x = 2 (this is one of the x-intercepts ) x -4 = 0 x = 4 (2nd x-intercept) x + 1 = 0 x = -1 (3rd x-intercept) Therefore our x-intercepts are at: (2,0) (4,0) and (-1,0) Plot it out on a graph and we have these three points: also note how your cubic is positive because: |dw:1436534745095:dw| |dw:1436534674543:dw|
butterflydreamer
  • butterflydreamer
So based on the drawing, you should be able to see which direction the curve goes :) Hint: look at the direction of the arrow head of your curve |dw:1436534911001:dw|
Pandemonium
  • Pandemonium
so the answer should be A?
butterflydreamer
  • butterflydreamer
yaass ^_^
Pandemonium
  • Pandemonium
Yay i learned :D
butterflydreamer
  • butterflydreamer
:) woohoooo~
Pandemonium
  • Pandemonium
Thx alot

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