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anonymous

  • 5 years ago

the point (-2,-32) is on the graph of an odd power function. What other point must be on this graph? write an equation for this function.

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  1. anonymous
    • 5 years ago
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    eq tor the function is \[f(x) = x ^{5}\] to find other points on this graph, simply substitute x in the equation with any number

  2. anonymous
    • 5 years ago
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    and if you are curious how to find the equation for any simple power function, simply use logarithms. Ask yourself, to what power do I have to raise x to get y? In logarithmic form this question would be \[\log_{x} y = power\] In your case it would be \[\log_{-2}-32 = 5\] hence you know that to get y you raise x to the 5th power, so the function will be \[f(x) = x ^{5}\] which you can also write as \[y = x ^{5}\] NOTE that this method ONLY works for SIMPLE power functions

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