Solve by graphing. x2 + 2x – 3 = 0
The graph of an equation is the set of all points that are solutions of the equation. Frequently, a relationship between two quantities can be expressed as an equation in two variables. For instance, we can write the equation of our problem as the following form:
\(y=x^2+2x-3 \\ \\ Or: \\ \\ f(x)=x^2+2x-3\)
So, by graphing \(f(x)\) we want to know the x-intercepts. This graph is illustrated in the Figure below. As you can see, points in red are the solution to this problem that are the x-intercepts of our previously defined function \(f(x)\). These points are:
\((-3,0) \ and \ (1,0)\)