KJ4UTS
  • KJ4UTS
Let f(x)=2x^3-4x+1. Fill in the blank with the number of times the output value (y) occurs for input values of x between -3 and 3 (options listed in answer bank). Graph on your calculator in an appropriate window so you can count how many times.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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KJ4UTS
  • KJ4UTS
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KJ4UTS
  • KJ4UTS
I am having a little trouble understanding what this question is asking me. Are there any graphing calculators online?
KJ4UTS
  • KJ4UTS
@Michele_Laino

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More answers

KJ4UTS
  • KJ4UTS
Do they want me to plug those numbers into the formula?
Michele_Laino
  • Michele_Laino
we have to use the graph of your function
KJ4UTS
  • KJ4UTS
I don't know if the link will work but that's the graph I plugged in
Michele_Laino
  • Michele_Laino
here is the procedure wit y=20 and y=-3:
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Michele_Laino
  • Michele_Laino
you have to count the intersection points
Michele_Laino
  • Michele_Laino
please I redraw the graph, please wait
Michele_Laino
  • Michele_Laino
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Michele_Laino
  • Michele_Laino
for example y=-3 (green horizontal line) give us only one intersection point between the vertical lines at x=-3 and x=3, so we have only one solution
KJ4UTS
  • KJ4UTS
oh so all those numbers are on the y axis 20, -3, 2, -40, and 1
Michele_Laino
  • Michele_Laino
yes!
Michele_Laino
  • Michele_Laino
y=20 (blue horizontal line) gives us only one intersection point between the vertical lines at x=-3 and x=3, so, again, we have only one solution
Michele_Laino
  • Michele_Laino
simlarly with others values y=2, -40, 1
Michele_Laino
  • Michele_Laino
similarly*
KJ4UTS
  • KJ4UTS
what graphing calculator is the one your using?
Michele_Laino
  • Michele_Laino
it is "desmos": https://www.desmos.com/calculator
KJ4UTS
  • KJ4UTS
ok I going to try the other ones
KJ4UTS
  • KJ4UTS
y=20 (one intersection point) y=-3 (one intersection point) This is what I got? y=2 (three intersection point) y=-40 (one intersection point) y=-1(three intersection point)
KJ4UTS
  • KJ4UTS
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KJ4UTS
  • KJ4UTS
I did not get 4 anywhere.
Michele_Laino
  • Michele_Laino
ok! correct!
Michele_Laino
  • Michele_Laino
we are not able to get 4 intersection points, because your function is a polynomial of degree= 3, s, at maximum, we get three solutions
Michele_Laino
  • Michele_Laino
so*
KJ4UTS
  • KJ4UTS
ok thank you the desmos calculator is really helpful

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