SOLUTION: 4. Given the function f(x)=8x-x^3, x>_ 0 a) Sketch the graph of f (use a solid line, label f(x) b) Use the graph of f above and sketch the graph of f^-1 on the same axis as in pa

Algebra ->  Trigonometry-basics -> SOLUTION: 4. Given the function f(x)=8x-x^3, x>_ 0 a) Sketch the graph of f (use a solid line, label f(x) b) Use the graph of f above and sketch the graph of f^-1 on the same axis as in pa      Log On


   



Question 1190842: 4. Given the function f(x)=8x-x^3, x>_ 0
a) Sketch the graph of f (use a solid line, label f(x)
b) Use the graph of f above and sketch the graph of f^-1 on the same axis as in part a) of this problem (use a dashed line, label the inverse). How did you find the points to sketch the inverse function?
c) Find f^-1(x)

Found 2 solutions by Edwin McCravy, Alan3354:
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
That function is not one-to-one, so it has no inverse that is a function.



















Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
4. Given the function f(x)=8x-x^3, x>_ 0
a) Sketch the graph of f (use a solid line, label f(x)
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There are other graph software utilities available, but I use
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www.padowan.dk
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Use Insert, then enter 8x-x^3
Pick your color.