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.

Question

anonymous · Answer

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

anonymous · Answer

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