12.6 Unit 5 Flashcard Review

Front

What is a function?

Back

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

Front

How can you determine if a relation is a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.

Front

Identify the domain of the relation: {(2, 3), (4, 5), (6, 7)}

Back

{2, 4, 6}

Front

Identify the range of the relation: {(1, 2), (3, 4), (5, 6)}

Back

{2, 4, 6}

Front

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

Back

It means that at least one input is associated with more than one output.

Front

Example of a function: f(x) = 2x + 3. What is f(2)?

Back

f(2) = 2(2) + 3 = 7.

Front

Example of a non-function: {(1, 2), (1, 3)}. Why is this not a function?

Back

Because the input '1' has two different outputs (2 and 3).

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function by checking if a vertical line crosses the graph more than once.