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KJ4UTS

  • one year ago

Match the function with its graph.

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  1. KJ4UTS
    • one year ago
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  2. KJ4UTS
    • one year ago
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    I am confused because: g(x) = x^5-3x^2+1, a <0 makes the graph of choice 3 g (x) = x^3-3x^2+1, a>0 makes the graph of choice 3 f (x) = x^4-3x^2+1, a>0 makes the graph of choice 1 f (x) = x^6-3x^2+1, a<0 makes the graph of choice 1 Choices 1 and 3 look like it would go to + infinity Choices 2 and 4 look like it would go to - infinity

  3. freckles
    • one year ago
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    so let's look at graph 1... it looks like from what you said above you know you must have an even degree polynomial correct?

  4. KJ4UTS
    • one year ago
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    yeah

  5. freckles
    • one year ago
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    ok great so we have the options g(x)=ax^4 where a>0 or g(x)=ax^6 where a<0 as are only options

  6. freckles
    • one year ago
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    for the first graph

  7. freckles
    • one year ago
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    the trick is the negative and positive part

  8. freckles
    • one year ago
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    do you know what g(x)=x^4 and g(x)=-x^6 look like?

  9. freckles
    • one year ago
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    or at least their end behavior

  10. KJ4UTS
    • one year ago
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    I graphed it where does the g(x)=-x^6 come from the - sign?

  11. freckles
    • one year ago
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    I'm going to call them something different... g(x)=x^4 and f(x)=-x^6 --- g(100)=100^4 <--a really really big positive number where as f(100)=-100^6 <---a really really big negative number

  12. freckles
    • one year ago
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    your options says a<0

  13. freckles
    • one year ago
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    for the x^6 graph

  14. freckles
    • one year ago
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    a<0 means a is negative

  15. freckles
    • one year ago
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    a>0 means a is positive

  16. KJ4UTS
    • one year ago
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    oh I see > greater than which is + and < less than which is -

  17. freckles
    • one year ago
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    yep and I just chose 1 and -1 because they are the prettiest negative and positive numbers

  18. freckles
    • one year ago
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    f(x)=1x^4 and g(x)=-1x^6 look at graphs 1 and 4... which graph would be closer to something like f(x)=1x^4?

  19. freckles
    • one year ago
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    like just look at the end behavior or look at what f(100)=100^4 this means when you plug in a really large positive x value you are going to get a really ridiculous large positive output y value

  20. freckles
    • one year ago
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    graph 4 says well if I plug in a really big positive x value I'm going to get a really big negative y output

  21. KJ4UTS
    • one year ago
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    I got it now from top to bottom would be 2 1 4 3 the - in front of the x's was where I was making a mistake.

  22. freckles
    • one year ago
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    you got it

  23. KJ4UTS
    • one year ago
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    Thank you for taking the time to explain this to me I really appreciate it :)

  24. freckles
    • one year ago
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    np :)

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