3-1 Relations and Functions

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input (x-value) and an output (y-value).

Front

What is a function?

Back

A function is a special type of relation where each input is associated with exactly one output.

Front

How can you determine if a relation is a function using a graph?

Back

A relation is a function if any vertical line drawn on the graph intersects the graph at most once (Vertical Line Test).

Front

What are the domain and range of a function?

Back

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

Front

What is the difference between domain and range?

Back

Domain refers to the inputs of a function, while range refers to the outputs.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if each output is associated with exactly one input, meaning no two different inputs produce the same output.

Front

Back

The range is all real numbers, as the output can take any value depending on the input.

Front

How do you find the domain of a function given a graph?

Back

The domain can be found by identifying all the x-values for which the graph has points.

Front

What is a linear function?

Back

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise over run).