The shaded regions R1 and R2, shown below, are enclosed by the graphs of f(x)= −x^2 and g(x)= −2^x. (gyazo.com/7bcf02392ff69e2a1280588308342e8e)

Question

Find the x- and y-coordinates of the three points of intersection of the graphs of f and g

Answer 1

finding that x=2 and x=4 work is trivial, by inspection

Finding the 3rd point at about -0.76 takes some iterative method, since it does not yield to algebraic analysis. I assume you know something of Newton's method, or bisection or something...

Answer 2

Tegenie kassew