Piecewise-Defined Functions

Each of the problems below is a link. If you click on the problem, it will take you to a YouTube video of a full, step-by-step solution for the problem. You may try these problems as practice and use the videos to check your answer, or you can just watch the videos to see more worked-out example problems.

Evaluate the piecewise-defined function at the indicated values, and sketch its graph: f of x = 5 when x is less than 2, and f of x = 2x minus 2 when x is greater than or equal to 2. Evaluate f of negative 3, f of 0, f of 2, f of 3, and f of 5
Evaluate the piecewise-defined function at the indicated values, and sketch its graph: f of x = 3x when x is less than or equal to 0, f of x = x + 1 when 0 is less than x which is less than or equal to 2, and f of x equals left paren x minus 2 right paren squared, when x is greater than 2. Evaluate f of negative 5, f of 0, f of 1, f of 2, f of 3, f of 4, and f of 5