i got f(2) = -4 f(0)=1 and it is continuos on this interval so there is a zero here and then
f(4) = -16
f(10) =24
and it is also continous here so here is a zero
I subtracted the RHS so the equation is 2^x - x^3 =0
I just want to make sure this is a valid way to do this problem. And wondering if there is an easier way to pick points where I think a zero may occur other than guessing.
Well.. by the problem description, all you have to show is that there is 2 or more points which the equation is true, and if you can "literally" find the points that satisfies the equation, this definitely answers the question.