Unit 5: Identifying Functions (3)

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

How can you determine if a graph represents a function?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once. This is known as the vertical line test.

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 crosses the graph more than once, it is not a function.

Front

What does it mean for a mapping to represent a function?

Back

A mapping represents a function if each input (domain) is paired with exactly one output (range).

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, but each input must have only one output.

Front

What are ordered pairs in the context of functions?

Back

Ordered pairs are pairs of numbers (x, y) that represent the input and output of a function.

Front

How can you tell if a set of ordered pairs represents a function?

Back

A set of ordered pairs represents a function if no two pairs have the same first element (x-value).

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each element of the domain is paired with an element of the range.

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 the function.

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.