Functions and Graphs

Start with functions and graphs

Functions and Graphs is a section of the Limits and Introduction to Calculus unit in Mathematics. This page brings together user-made resources that approach the topic through maps, cards and a quiz. The resources cover both school and university levels, so you can select the material that fits what you are studying.

For an overview, start with the PreCalc mind map. It includes functions, domain and range, quadratic functions, graphs and quadrants. Use its branches to identify terms you recognize and those you want to look at more closely.

Follow the graph topics

The Pre-Cal mind map covers polynomials and quadratics, including parabolas and minimum and maximum values. It also includes rational function graphing, zeros and asymptotes. The Pre Calculus mind map focuses on transformations, including shifts, dilations and reflections.

For another approach, the flashcard deck on logarithms and rational functions includes prompts about converting expressions into logarithmic form. The curriculum review flashcards include inverses, the change of base rule and exponential equations. A mind map on hyperbolic functions includes graphs, inverse hyperbolic functions and differentiation.

Combine a map with the quiz

After studying a map, try the quiz on functions. Its questions include range, inverse functions and a logarithmic equation. Use the questions to see which ideas you can work with and which you want to study again. The flashcards on functions also ask about domain, range and when a mapping is a function.

Move between the quiz and a relevant map or flashcard deck as you study. This keeps your work within the Functions and Graphs section while giving you different ways to approach material in the Limits and Introduction to Calculus unit. Pick a map and pair it with the quiz to begin.