In this Khan Academy activity, students will practice determining what value should be inputted into a function to get the given output.

In this Khan Academy activity, students will practice finding the input value for a function from their graph.

Entire unit on functions and how to determine values of range when given domain.

Students have been using function notation in various forms and have become more comfortable with features of functions. In this task, the purpose is for students to practice their understanding of the following:
• Distinguish between input and output values when using notation
• Evaluate functions for inputs in their domains
• Determine the solution where the graphs of f(x) and g(x) intersect based on tables of values and by interpreting graphs
• Combine standard function types using arithmetic operations (finding values of f(x)+ g(x))
• Create graphs of functions given conditions.

This task provides opportunities for students to show their understanding of functions in various representations by making matches (3 cards in a set).

Students will extend their study of functions to include function notation and the concepts of domain and range by exploring examples of functions and their graphs, focusing on the contrast between linear and exponential functions. They interpret functions given graphically, numerically, symbolically, and verbally; translate between representations; and understand the limitations of various representations.

The purpose of this task is for students to combine functions, make sense of function notation, and connect multiple representations (context, equations, and graphs). Students will also address features of functions as they solve problems that arise from this context.

In this Khan Academy activity, students will find the nth term in an arithmetic sequence.

In this Khan Academy activity, students will find the nth term in a geometric sequence.

The purpose of this task is for students to interpret and highlight features of functions using contexts. This task provides opportunities for students to practice skills they have already learned as well as solidifying their knowledge of features of functions. This task first asks students to make observations from a graph. There are several observations to make and by having students make these observations, they are accessing their background knowledge as a way to prepare for this task. In the following sections, students solidify their understanding of domain and distinguish between the domain of a function and the domain of a situation. They also use function notation to interpret the meaning of the situation.