Given the table of values of a function, determine whether it is invertible or not by examining its domain. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

[Free Registration/Login Required] Students are given an input/output table and are to determine the inputs and write rules for the function. Click 'Challenge Me' to answer practice questions and click 'Learn More' for more information...

This task is a followup to the one called 'Building an explicit quadratic function.' In this one, students follow the same process with a general quadratic function. The operations take place in the opposite order and the goal is to find...

The purpose of this task is to examine trigonometric functions for obtuse angles. Aligns with F-TF.A.2.

Play with functions while you ponder Art History. Explore geometric transformations and transform your thinking about linear functions, then have fun figuring out the mystery functions.

Provides examples and a video lesson that illustrates how to represent a function as a rule or graph.

Provides examples and a video lesson that illustrate functions and linear equations. [0:54]

In these interactive visualizations, explore the relationship between calculating miles per gallon (mpg) to gallons per mile in fuel use for vehicles. Most drivers think gas usage falls linearly (in a straight line) as mpg increases. But...

Students explore the properties and graphs of rational functions. The tutorial examines the equations of rational functions, intercepts, vertical asymptote, and horizontal asymptotes. The activity consists of examples with detailed...

The tutorial examines logarithmic functions and exponential functions. The activity consists of examples with detailed solutions.

In this Derive activity, students understand how the software solves cubic equations and relate it to contributions made by del Ferro, Tartaglia, and Cardan in finding the method of solving cubic equations.

In this task, students are asked to analyze a function and its inverse when the function is given as a table of values. In addition to finding values of the inverse function from the table, they also have to explain why the given...

For this task, students investigate the changes that take place in the values of a function to determine that exponential functions grow by equal factors over equal intervals. Aligns with F-LE.A.1.a.

Young scholars are presented with a table that shows the populations of foxes and rabbits in a national park over a 12-month period. This is the second Foxes and Rabbits task. In this problem, students must find trigonometric functions...

In this task, students use trigonometric functions to model the movement of a point around a wheel and through space. Students also interpret features of graphs in terms of the given real-world context. Aligns with F-TF.B.5 and F-IF.B.4.

This task is intended to help students see more clearly the link between factorization of polynomials and zeroes of polynomial functions. The argument here generalizes to show that a polynomial of degree d can have at most d roots....

Gain an understanding of linear equations in the coordinate plane by viewing examples and a video lesson. [2:56]

Learn from other student's mistakes by reviewing examples of the following Trigonometry topics: values of trigonometric functions, values of inverse trigonometric functions, solving triangles, simplifying trigonometric expressions, and...

In this task, students are asked to sketch and label the graphs of different (positive) powers of x. Aligns with F-IF.C.7.c.

This section introduces two problems: rate of change of a function and tangent lines to functions. Both of these problems will be used to introduce the concept of limits.

This task is about an online mathematics organization that is trying, over a four-year period, to generate 2,000 math problems that cover all grades. This real-life modeling task could serve as a summative exercise that draws on many...

In this task, students analyze data about the number of students being infected during an influenza outbreak. The purpose of this problem is to have students compose functions using tables of values only. Aligns with F-BF.A.1.c.

Solve word problems about exponential situations. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

The task requires the student to use logarithms to solve an exponential equation in the realistic context of carbon dating. Aligns with F-LE.A.4.