Asked by Laura

Determine a possible linear function f(x) such that x^2-x-2 < f(x)< x^3-x^2-2x has a solution and state the solution.(the < are supposed to have lines under that indicate less than/equal to)

I just don't really get what it's asking. So I factored each equation and they are (x+1)(x-2) and x(x+1)(x-2)

I just don't know how to proceed from there

Answers

Answered by Steve
There is no linear function which lies between the curves for all values of x.

See the graphs at

http://www.wolframalpha.com/input/?i=plot+x%5E2-x-2+,x%5E3-x%5E2-2x

If you restrict your domain, you can easily specify a line that lies between the curves on some interval.

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