Explain how some equation have a different amount of solutions

Suppose that f(0) = −3 and f '(x) ≤ 8 for all values of x. how large can f(4) possibly be? solution we are given that f is differentiable (and therefore continuous) everywhere. in particular, we can apply the mean value theorem on the interval [0, 4] . there exists a number c such that

For f(x)=2x+3 and g(x)=x^2- 8 find (f+g) (x)

The two square pyramids are similar. find the total volume of both pyramids if the ratio of their surface areas is 9/16