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KJ4UTS

  • one year ago

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.

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  1. KJ4UTS
    • one year ago
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  2. KJ4UTS
    • one year ago
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    I am having a little trouble understanding what this question is asking me. Are there any graphing calculators online?

  3. KJ4UTS
    • one year ago
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    @Michele_Laino

  4. KJ4UTS
    • one year ago
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    Do they want me to plug those numbers into the formula?

  5. Michele_Laino
    • one year ago
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    we have to use the graph of your function

  6. KJ4UTS
    • one year ago
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    I don't know if the link will work but that's the graph I plugged in

  7. Michele_Laino
    • one year ago
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    here is the procedure wit y=20 and y=-3:

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  8. Michele_Laino
    • one year ago
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    you have to count the intersection points

  9. Michele_Laino
    • one year ago
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    please I redraw the graph, please wait

  10. Michele_Laino
    • one year ago
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  11. Michele_Laino
    • one year ago
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    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

  12. KJ4UTS
    • one year ago
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    oh so all those numbers are on the y axis 20, -3, 2, -40, and 1

  13. Michele_Laino
    • one year ago
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    yes!

  14. Michele_Laino
    • one year ago
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    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

  15. Michele_Laino
    • one year ago
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    simlarly with others values y=2, -40, 1

  16. Michele_Laino
    • one year ago
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    similarly*

  17. KJ4UTS
    • one year ago
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    what graphing calculator is the one your using?

  18. Michele_Laino
    • one year ago
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    it is "desmos": https://www.desmos.com/calculator

  19. KJ4UTS
    • one year ago
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    ok I going to try the other ones

  20. KJ4UTS
    • one year ago
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    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)

  21. KJ4UTS
    • one year ago
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  22. KJ4UTS
    • one year ago
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    I did not get 4 anywhere.

  23. Michele_Laino
    • one year ago
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    ok! correct!

  24. Michele_Laino
    • one year ago
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    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

  25. Michele_Laino
    • one year ago
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    so*

  26. KJ4UTS
    • one year ago
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    ok thank you the desmos calculator is really helpful

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