$f(x)=x^2.\sqrt{2x+5}-6$
For which value(s) of $p$ does $f(x)=p$ have:
no solutions
exactly 1 solution
exactly 2 solutions
exactly 3 solutions
So, I have one problem which keeps me from solving this problem: how do I find the beginning point of this function? I have a graphing calculator, with the ability to calculate 'value, zero, minimum, maximum, intersect and dy/dx'. How can one find out what the beginning of this function is (with a graphing calculator or with algebra). I don't think I'll have trouble with this problem once I know the beginning point.