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anonymous

  • one year ago

I have to take the graphs f(x)=x^4 and g(x)=3(x-2)^4 -4 and describe the end behaviors.

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  1. anonymous
    • one year ago
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    |dw:1437260770504:dw|

  2. anonymous
    • one year ago
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    is it as simple as stating the the end result is a vertical shift of 2 units to the right and a horizontal shift of 4 units down?

  3. anonymous
    • one year ago
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    I get that the leading coefficient determines the end behavior, but how do I put it into words

  4. campbell_st
    • one year ago
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    the leading coefficient in both curves is positive so since both are degree 4 polynomials they are both concave up... the coefficient of the leading term in g(x) is 3 so this is increasing quicker than f(x)

  5. campbell_st
    • one year ago
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    hope that helps

  6. anonymous
    • one year ago
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    It does. this is what I came up with using both the worksheet and a bit of internet search. both f(x) and g(x) have positive coefficients and are even degreed polynomials so the end results of both ends of the graphs will be going in the positive direction toward infinity the worksheet says something about increasing without bounds as the other increases without bounds.... I'm confused by that.

  7. campbell_st
    • one year ago
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    is mean they approach infinity as x approaches infinity and - infinity as x approaches - infinity.

  8. anonymous
    • one year ago
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    got it! Thanks!

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