Functions

Front

Is this set of ordered pairs a function or not a function? (Example: (1,2), (2,3), (1,4))

Back

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

Front

Which set of values is a function? (Options: (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) - because each input has a unique output.

Front

What is the definition of a function?

Back

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

Front

Is this graph a function or not a function? (Example: A vertical line test)

Back

Function - if any vertical line intersects the graph at most once.

Front

Is the equation linear or nonlinear? (Example: y = 2x + 3)

Back

Linear - because it can be represented as a straight line.

Front

What is an input in a function?

Back

An input is the value you provide to a function, often represented as 'x'.

Front

What is an output in a function?

Back

An output is the result you get from a function after applying the input, often represented as 'y'.

Front

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

Back

A one-to-one function means that each output is paired with exactly one input.

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.

Front

What is a domain in a function?

Back

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