SOLUTION: if f(x)=x(x+1)(x-4), use interval notation to give all values of x where f(x)>0

Question 73727: if f(x)=x(x+1)(x-4), use interval notation to give all values of x where f(x)>0
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
If we look at the roots of x(x+1)(x-4) we get x=0, x=-1, and x=4. At the roots the graph of f(x) goes from either a positive number to a negative number or from a negative number to a positive number. At this point we only care about the positive portion. So if we graph x(x+1)(x-4) we get

So the roots are the endpoints where the interval is
[-1,0]U[4,) Which can be easily obtained from the graph.

RELATED QUESTIONS
f(x)=x(x+3)(x-1) use interval notation to give all values of x where... (answered by funmath)

If f(x)=x(x-1)(x-4)^2, use interval notation to give all values of x where f(x)>0.... (answered by venugopalramana)

If f(x)=x(x-1)(x-4)^2, use interval notation to give all values of x where... (answered by Nate)

If f(x)=x(x-1)(x-4)^2, use interval notation to give all values of x where... (answered by funmath,Edwin McCravy)

If f(x)=x(x-1)(x-4)^2, use interval notation to give all values of x where... (answered by funmath)

If f(x)=x(x+1)(x-4), use interval notation to give all values of x where f(x)>0.... (answered by stanbon)

I have a problem If f(x)=x(x+1)(x-4) use interval notation to give all values of x... (answered by stanbon)

I'm confused...help? If f(x) = x(x + 1)(x - 4), use interval notation to give all... (answered by stanbon)

IF f(x)=x(x+1)(x-4), USE INTERVAL NOTATION TO GIVE ALL VALUES OF x WHERE... (answered by stanbon)