Understanding Functions and Their Properties

Front

What are all of the x values or inputs in a function called?

Back

Domain

Front

What are all of the y values or outputs in a function called?

Back

Range

Front

Which set of values is a function? (9,5) (10,5) (9,-5) (10,-5), (3,4) (4,-3) (7,4) (3, 8), (6,-5) (7, -3) (8, -1) (9, 1), (2, -2) (5, 9) (5, -7) (1, 4)

Back

(6,-5) (7, -3) (8, -1) (9, 1)

Front

Is this graph a function or not a function? (Provide a graph showing a vertical line intersecting the graph at more than one point)

Back

Not a Function

Front

Is this mapping a function or not a function? (Provide a mapping diagram showing unique outputs)

Back

Function

Front

What is a function?

Back

A relation where each input has exactly one output.

Front

What is the vertical line test?

Back

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

What is the definition of a relation?

Back

A set of ordered pairs, where each pair consists of an input and an output.

Front

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

Back

Each output is paired with exactly one input, meaning no two different inputs produce the same output.

Front

What is the range of a function?

Back

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