Domain and Range/Function Families Study Guide

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

True or False: The domain and range can sometimes be all real numbers on continuous lines.

Back

True

Front

What is a common mistake to avoid when graphing?

Back

Reversing x and y coordinates.

Front

What can you use to find the domain and range of a function?

Back

You can find domain and range from tables, graphs, or equations.

Front

True or False: Forgetting to label points or axes is a common mistake when graphing.

Back

True

Front

What does it mean for a function to be continuous?

Back

A function is continuous if there are no breaks, holes, or jumps in its graph.

Front

What is a vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is a function family?

Back

A function family is a group of functions that share common characteristics, such as linear, quadratic, or exponential functions.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output.