Domain & Range and Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one y-value.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

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

Does this mapping diagram represent a function? (Answer: No Function)

Back

A mapping diagram does not represent a function if any input (x-value) is associated with more than one output (y-value).

Front

Is this graph a function? (Answer: Function)

Back

A graph represents a function if it passes the vertical line test, meaning no vertical line intersects the graph at more than one point.

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 crosses the graph at more than one point, it is not a function.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on a graph, where x is the input and y is the output.

Front

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

Back

A relation is a function if each input is paired with exactly one output.

Front

If the domain is {-4, -1, 0, 2, 7}, what are the possible x-values?

Back

The possible x-values are -4, -1, 0, 2, and 7.

Front

If the range is {2, 4, 6}, what are the possible y-values?

Back

The possible y-values are 2, 4, and 6.