Find the value makes a piecewise function continuous with system of equations

The video tutorial covers evaluating limits and understanding discontinuities in functions. It explains how to solve for variables using systems of equations, emphasizing the need for multiple equations to solve for multiple variables. The tutorial demonstrates evaluating limits at points of discontinuity and solving systems of equations to ensure function continuity.

What algebraic process can be used to solve for two variables?

What is the relationship between the number of variables and the number of equations needed to solve them?

How do you determine if a limit exists at a certain point?

Explain the process of evaluating limits from both the left and right sides.

What are the two equations derived from the limits at the points of discontinuity?

How can substitution or elimination be used to solve a system of equations?

What values of A and B make the function continuous at the points of discontinuity?