Lawrence Hall of Science
The Math Page: Topics in Pre Calculus: Inverse Functions
Here is a site that clearly and thoroughly explains how to find and graph inverse functions. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out to students who...
Lawrence Hall of Science
The Math Page: Topics in Pre Calculus: Functions
Here is a site that clearly and thoroughly explains functions and function notation. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out to students who have...
Lawrence Hall of Science
The Math Page: Topics in Pre Calculus: Basic Graphs
Here is a site that clearly and thoroughly explains the graphs of the major mathematical functions. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out to...
Cool Math
Coolmath: What's a Function (Intro to Domain and Range)
Explanation and examples for domain and range.
Math Planet
Math Planet: Algebra 1: Representing Functions as Rules and Graphs
Provides examples and a video lesson that illustrates how to represent a function as a rule or graph.
Paul Dawkins
Paul's Online Notes: Function Practice Problems by Paul's Online Notes
In this section we will cover function notation/evaluation, determining the domain and range of a function and function composition.
Paul Dawkins
Paul's Online Notes: Common Graphs Practice Problems
In this section we will do a very quick review of many of the most common functions and their graphs that typically show up in a Calculus class.
Cool Math
Coolmath: Pre Calculus Graphs to Know and Love
A list and visuals of standard graphs from y = x to an absolute value.
Cool Math
Coolmath: Pre Calculus Shifting, Reflecting, Etc.
Description and examples of shifting and reflecting various graphs.
Cool Math
Coolmath: Functions Domain and Range
This algebra lesson explains to find the domain and range of a function by looking at the graph.
Cool Math
Coolmath: Finding the Domain Without the Graph
A tutorial explaining how to find the domain without the graph.
Cool Math
Coolmath: Advanced Graphing Piecewise Functions
This algebra lesson explains how to graph piecewise defined functions.
Illustrative Mathematics
Illustrative Mathematics: F if Average Cost
In this task, young scholars must calculate the average cost for a DVD recording for different numbers of DVDs and explain why the cost levels off as the number of DVDs goes up. Aligns with F-IF.B.4 and F-IF.B.5.
Illustrative Mathematics
Illustrative Mathematics: F if Graphing Rational Functions
In this task, students interact with a Desmos app by moving sliders and making observations about features of the graphs and the structures of the expressions of the functions. Aligns with F-IF.C.7.d.
Illustrative Mathematics
Illustrative Mathematics: F if Oakland Coliseum
In this task, students are asked to find the domain and range of a linear function in the context of ticket sales at the Oakland Coliseum. Aligns with F-IF.B.5.
Illustrative Mathematics
Illustrative Mathematics: F Bf,if the Canoe Trip, Variation 1
In this task about canoeing, learners must analyze paddling speed and current speed, which are working against each other, to determine how long a canoe trip would take. They write expressions and analyze characteristics of the graph...
Illustrative Mathematics
Illustrative Mathematics: F Bf,if the Canoe Trip, Variation 2
In this task about canoeing, paddling speed, and current speed, students examine how long a trip would take at different speeds. They write a function equation, graph their equation, and explain their thinking. The primary purpose of the...
Khan Academy
Khan Academy: Algebra Ii: Graphs of Rational Functions
Determine which of four graphs fits the formula of a given function. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Algebra Ii: Graphs of Logarithmic Functions
Graph logarithmic functions and find the appropriate graph given the function. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Purple Math
Purplemath: Functions: Domain and Range
Discusses the domain and range of a function, and how to find the domain and range from a list of points or from a graph.
Khan Academy
Khan Academy: Algebra I: Evaluate Inverse Functions
Practice evaluating the inverse function of a function that is given either as a formula, or as a graph, or as a table of values. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...
Khan Academy
Khan Academy: Algebra Ii: Graphs of Exponential Functions
Graph exponential functions and find the appropriate graph given the function. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Purple Math
Purplemath: Practical Algebra Lessons
Pre-algebra and algebra lessons, from negative numbers through pre-calculus. Grouped by level of study. Lessons are practical in nature informal in tone, and contain many worked examples and warnings about problem areas and probable...
Purple Math
Purplemath: Practical Algebra Lessons
Pre-Algebra and algebra lessons, from negative numbers through Pre-Calculus. Grouped by level of study. Lessons are practical in nature, informal in tone, and contain many worked examples and warnings about problem areas and probable...