Relations and Functions

Front

What is a function?

Back

A relation where each input (x-value) has exactly one output (y-value).

Front

Is the relation {(1,2), (2,3), (3,4)} a function?

Back

Yes, because each input has one output.

Front

What is the domain of a function?

Back

The set of all possible input values (x-values).

Front

What is the range of a function?

Back

The set of all possible output values (y-values).

Front

Given the function {(0,1), (1,-3), (2,-4)}, what is the domain?

Back

D: {0, 1, 2}.

Front

Given the function {(0,1), (1,-3), (2,-4)}, what is the range?

Back

R: {1, -3, -4}.

Front

What are ordered pairs?

Back

A pair of numbers (x, y) that represent a point in a function.

Front

Is the relation {(1,2), (1,3)} a function?

Back

No, because the input 1 has two different outputs.

Front

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

Back

Each output is paired with exactly one input.

Front

What is a vertical line test?

Back

A method to determine if a relation is a function by checking if a vertical line intersects the graph at more than one point.