Identifying and Representing Functions

Front

What is a function?

Back

A function is a relation where every input has only ONE output.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if each input (x-value) is paired with exactly one output (y-value).

Front

What is the 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

Identify if the following is a function: {(1, 2), (2, 3), (1, 4)}

Back

Not a function, because the input '1' has two different outputs (2 and 4).

Front

Identify if the following is a function: {(1, 2), (2, 3), (3, 4)}

Back

Function, because each input has a unique output.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3.

Front

What is a non-example of a function?

Back

A non-example of a function is y = ±√x, because for some x-values, there are two corresponding y-values.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, typically in the form f(x) = mx + b.