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anonymous

  • one year ago

Help with Continuity and End Behavior, please!

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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  3. anonymous
    • one year ago
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  4. idku
    • one year ago
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    \(x^4\) will tend to positive infinity as x approaches pos/neg infinity. (because the power is even) When this is multiplied times -2, i.e. \((-2)\cdot x^4\), it then tends to negative infinity. (Roughly saying that: infinity × negative = - infinity)

  5. idku
    • one year ago
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    3) Concave up parabola (opens up) It will decrease (negative slope) up to vertex, and from vertex and on it will increase (positive slope)

  6. idku
    • one year ago
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    4) Decreases up to vertex, and from vertex and on increases.

  7. anonymous
    • one year ago
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    So would 2 be A? Or am I misunderstanding?

  8. jim_thompson5910
    • one year ago
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    |dw:1444355025772:dw|

  9. jim_thompson5910
    • one year ago
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    let's graph h(x) = -2x^4 |dw:1444355037311:dw|

  10. jim_thompson5910
    • one year ago
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    it kinda looks like a parabola, but it's not really a parabola

  11. jim_thompson5910
    • one year ago
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    what happens when x gets larger and larger (approaching +infinity) ?

  12. anonymous
    • one year ago
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    It stretches.

  13. jim_thompson5910
    • one year ago
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    what happens to the y coordinate of the point?

  14. anonymous
    • one year ago
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    It gets smaller?

  15. jim_thompson5910
    • one year ago
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    y approaches -infinity I think is what you mean?

  16. anonymous
    • one year ago
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    Yes

  17. jim_thompson5910
    • one year ago
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    correct so h(x) --> -infinity as x --> infinity

  18. jim_thompson5910
    • one year ago
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    how about as x --> -infinity

  19. anonymous
    • one year ago
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    h(x) ---> infinity?

  20. jim_thompson5910
    • one year ago
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    look at the graph

  21. anonymous
    • one year ago
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    Oh -infinity

  22. jim_thompson5910
    • one year ago
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    yes

  23. anonymous
    • one year ago
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    So, c?

  24. jim_thompson5910
    • one year ago
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    correct

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