Identifying Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

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

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

Back

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

Front

Identify the function: {(1,2), (2,3), (1,4)}

Back

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

Front

Identify the function: {(3,5), (4,5), (5,5)}

Back

This is a function, as each input is associated with exactly one output.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represents a point in a two-dimensional space.

Front

What is the vertical line test?

Back

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

Front

What are outputs in a function?

Back

Outputs are the values that result from applying the function to the inputs, typically represented as y-values.

Front

What is a relation?

Back

A relation is a set of ordered pairs, which can include functions but does not have to.