When asked to create a system like this, the easiest way to do so is by setting up real basic equations. For the basis of this, let's use the following:
f(x) = x^2 (Quadratic)
f(x) = x (Linear)
Making them basic like this will allow us to solve rather easily. To solve a system where both are equal to f(x), you may set equal to each other to solve.
x = x^2 ---->subtract x from both sides
x^2 - x = 0 ---> factor out an x.
x(x - 1) = 0
Now set each part equal to 0 to solve.
x = 0
x - 1 = 0
x = 1
Now you know that the graph has solution sets at x = 0 and x = 1. If we put them back into either equation, you'll get out the ordered pairs of (0, 0) and (1, 1). When graphing these two, it'll be easy to see those two points.
