Eight Multiple Choice Domain and Range of Functions Problems

9th - 11th

In this function worksheet, students determine domains and ranges in eight multiple choice problems.  The solutions are provided.

Resource Details

Algebra II
Answer Key

Ice Breaker - Functions

An interesting matching activity that looks at linear, radical, and quadratic equations with their verbal descriptions. Algebra learners look at the function's domain, range, rate of change, intercepts, and overall graph. 

Inverse Trig Functions

Young scholars solve problems using trig identities. For this trigonometry lesson, students evaluate inverse trig functions and relate it to the unit circle and determine the domain and range of the inverse trigonometric functions

Functions: Domain and Range

Upper graders find the domain and range of a function. They graph the given functions and identify the breaks, and missing points in the graph. Then find the domain and range and explain how it affects the graph using a calculator. They apply these concepts to solving real world scenarios.

Identifying Graphs of Functions

Match the graph with its function in an exercise that focuses on variations of the graph of ye^x. Learners are given four graphs on the same set of axes and four functions, all involving e^x. The task is to match each function with its corresponding graph and explain the rationale for each match. An additional focus of this activity is to provide exposure to functions that are used in logistic growth models. The exercise can be used for instruction or assessment.


In this graphs learning exercise, learners solve and complete 15 various types of problems. First, they determine the range of the function of the graph shown and write in interval notation. Then, students find the domain of the function in the graph shown. They also find all three intercepts and state whether the equations represent a line, a parabola, a cubic, a circle, or a hyperbola.

Exercise Set 1.4: Operations on Functions

In this composition functions worksheet, students solve 54 short answer problems.  Students find the composition of functions such as f of g and f + g.  Students find the domain of various functions.

Domain and Range 1

After defining a simple function from a word problem, this video, shows how one could find the domain and the range of that function. The goals here are to reinforce the definitions of domain and range with a concrete example.

Domain of a Function

We look at a number of different examples of functions and see what their domain is. Sal writes the domain in set notion and shows how different functions can have different input values that cause the function to be undefined.

Domain and Range 2

The short example shown in this video starts with a given a set of numbers in the domain and the range that represent a function. In this example, one needs to simply map the points on a coordinate plane.

Domain Representations

Students use graphs, tables, number lines, verbal descriptions, and symbols to represent the domain of various functions. They utilize worksheets and problems imbedded in this plan to gain practice.

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