Exploring Domain and Range

Front

What is the definition of 'domain' in a function?

Back

The domain of a function is the complete set of possible values of the independent variable (usually x) for which the function is defined.

Front

What is the definition of 'range' in a function?

Back

The range of a function is the complete set of possible values of the dependent variable (usually y) that result from using the function.

Front

Given the points (0, 1), (1, 2), (2, 3), (3, 4), what is the range?

Back

The range is \{1, 2, 3, 4\}.

Front

In a mapping diagram, if x maps to y as follows: 1 → 3, 2 → 4, 3 → 5, what is the range?

Back

The range is \{3, 4, 5\}.

Front

Identify the domain from the table: | x | y | |-----|-----| | 2 | 5 | | 4 | 7 | | 6 | 9 |

Back

The domain is \{2, 4, 6\}.

Front

In a mapping diagram, if x maps to y as follows: -2 → 4, 0 → 5, 2 → 6, what is the domain?

Back

The domain is \{-2, 0, 2\}.

Front

Given the points (1, 3), (2, 5), (3, 7), (4, 9), what is the domain?

Back

The domain is \{1, 2, 3, 4\}.

Front

What is a discrete graph?

Back

A discrete graph consists of distinct points that represent individual data values, rather than a continuous line.

Front

How do you find the range of a function from a graph?

Back

To find the range, identify all the y-values (outputs) that correspond to the x-values (inputs) in the graph.

Front

What is the difference between domain and range?

Back

The domain refers to the set of all possible input values (x-values), while the range refers to the set of all possible output values (y-values).