The solutions to the systems of equations are given as follows:
1. x = 0 and x = 2.
2. x = 0 and x = 2.
3. x = 0.
<h3>What is a system of equations?</h3>
A system of equations is a set of equations involving multiple variables that are related, and then the solution can be obtained numerically with operations.
Graphically, the solutions to a system can also be obtained as the intersection points of all the equations that make the system.
Hence the solutions to the system in the context of this problem are given as follows:
1. x = 0 and x = 2, as the top graph is correct and the functions intersect at these points. The top graph is correct because the exponential function g(x) is defined for all real values.
2. x = 0 and x = 2, as the bottom graph is correct and the functions intersect at these points. The bottom graph is correct because the intercept of the linear function f(x) is of -3, and of the exponential function g(x) is of -4.
3. x = 0, as the functions in the top graph intersect at these points. We can verify that the top graph is correct with the intercept of the parabolic equation f(x) at y = 2.
