Two functions intersect when they have the same x- and y-values.
See solution.
Practice makes perfect
Recall that the solutions of a system of equations are the x-values that satisfy both equations simultaneously. Besides that, notice that when two functions have the same x- and y- values, they have a common point and they intersect. Let's consider the system shown below.
y = x^2-4x+2 & (I) y = 2 & (II)
Following the ideas mentioned above, we can solve this system by graphing both functions on the same graph. The intersection points represent the solutions of the system.
As we can see, the solutions to the system are x=0 and x=4.
