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Comparing_features_of_functions_Algebra_2_level_

Learn how to compare various features between two functions, each represented in a different way.

Combining_functions

Learn how to take two basic functions and combine them into a new function which is their sum, difference, product, or quotient.

Determining_the_range_of_a_function_Algebra_2_level_

Learn how to find the range of a function, which is the set of all of the function's possible outputs.

Maximum_and_minimum_points

Learn about maximum and minimum points of functions.

Recognizing_functions

Learn how to distinguish between two-variable relationships that are functions and two-variable relationships that aren't functions.

Interpreting_features_of_graphs

Interpret the graphs of functions in terms of the contexts that are modeled by the functions.

Composing_functions_Algebra_2_level_

Learn what function composition is, how to to work with composite functions, and how to find the formulas of the composition of two functions.

Intervals_where_a_function_is_positive_negative_increasing_or_decreasing

Learn about features of functions that have distinct graphical representations: intervals where the function is always positive or always negative, and intervals where the function is always increasing or always decreasing.

Interpreting_function_notation

Solve some word problems by interpreting expressions of modeling functions.

Determining_the_domain_of_advanced_functions_Algebra_2_level_

Learn how to determine the domain of piecewise functions with different function rules.

Inputs_and_outputs_of_a_function

Extend your understanding of the relationship between the inputs of a function and the outputs of that function.

Two_variable_functions

Learn about functions that take *two* inputs in order to output a single value.

Evaluating_functions

Learn how to find the value of a function for a given input value.

Introduction_to_the_domain_and_range_of_a_function

Learn what the domain and the range of a function are. Practice finding the domain and the range of a function given its graph.

Verifying_that_functions_are_inverses_Algebra_2_level_

Learn how to check whether a pair of functions are the inverses of one another.

Graphing_nonlinear_piecewise_functions_Algebra_2_level_

Learn how to graph piecewise functions whose assignment rules are not linear.

Functions_and_equations

Understand the subtle differences and similarities between functions and equations. In this exercise, we will see how an equation can be turned into a function.

Average_rate_of_change

Learn what's the average rate of change of a function and how to find it over given intervals.

Interpreting_the_end_behavior_of_algebraic_models_Algebra_2_level_

Learn how to interpret graphs of modeling functions in terms of their context by considering their end behavior.

Introduction_to_inverses_of_functions_Algebra_2_level_

Learn what inverses of functions are, and gain some experience with them by finding the outputs of the inverse of a function given that function.

Interpreting_the_symmetry_of_algebraic_models_Algebra_2_level_

Learn how to interpret graphs of modeling functions in terms of their context by considering their symmetry.

Finding_inverse_functions_Algebra_2_level_

Learn how to find the inverses of polynomials functions, radical functions, and rational functions.

Stretching_functions

Learn how to transform functions so their graph is stretched horizontally or vertically. Learn how to find the equation of a function that is a stretch of another function.

Average_rate_of_change_word_problems

Solve word problems that concern the average rate of change of a functional relationship.

Modeling_situations_by_combining_and_composing_functions_Algebra_2_level_

Make use of knowledge in combining and composing functions, by modeling complex real-world situations.

Shifting_functions

Learn how to transform functions so their graph is shifted horizontally or vertically. Learn how to find the equation of a function that is a shift of another function.

Interpreting_the_periodicity_of_algebraic_models_Algebra_2_level_

Learn how to interpret graphs of modeling functions in terms of their context by considering their periodicity.

Determining_the_domain_of_a_function

Determine the domains of functions according to various considerations.

Piecewise_functions

Piecewise functions are functions that have different assignment rules for different numbers. For example, a function can return x² for any negative x-value and return x³ for any non-negative x-value.

Determining_whether_a_function_is_invertible_Algebra_2_level_

Learn about the conditions for a function to be invertible, and learn how to manipulate functions to make them invertible.

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