This Desmos graph gives an interactive way to think about average rates of change in the context of examples from physics and economics. You should try changing the definition of the function, and see how you can interpret the examples in that case.
This Desmos graph shows you how to graph piecewise functions in Desmos. You can also experiment with the slope and intercept of a line piece, and try to connect it to a parabola piece in a smooth way.
The above PDF handout has a list of problems that should help you recall and review important ideas and methods from algebra, trigonometry, and precalculus generally. Please consult Chapter 0 of the text and seek help during your instructor’s office hours or at the Math Tutoring Center whenever you have questions.