Function or Not a Function (No Graphs)

Front

What is a function?

Back

A function is a relation where every input (x-value) has exactly one output (y-value).

Front

What does it mean if a relation is not a function?

Back

A relation is not a function if at least one input (x-value) is associated with more than one output (y-value).

Front

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

Back

Function

Front

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

Back

Not a Function

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

Which of the following pairs would prevent a relation from being a function? (5, 6), (5, 7), (8, 9)

Back

(5, 6) and (5, 7) prevent it from being a function.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each input x has a unique output.

Front

What is an example of a relation that is not a function?

Back

An example is {(1, 2), (1, 3)}, where the input 1 has two different outputs.

Front

What is the definition of input in a function?

Back

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

Front

What is the definition of output in a function?

Back

An output is the value that results from applying the function to an input, typically represented as y.