Unit 5: Lessons 1 and 2

Front

What is a function?

Back

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

Front

What is the definition of domain in a function?

Back

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

Front

What is the definition of range in a function?

Back

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

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 (Vertical Line Test).

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

Given the pairs (2,3), (3,4), (2,5), (4,6), is this a function?

Back

No, because the input 2 has two outputs (3 and 5).

Front

What is the Vertical Line Test?

Back

The Vertical Line Test is a method to determine if a graph is a function by checking if any vertical line crosses the graph more than once.

Front

If a function has the input x = 5 and outputs y = 10 and y = 15, is it a function?

Back

No, because the input 5 has two different outputs.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each x-value has one corresponding y-value.

Front

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

Back

An example is {(1,2), (1,3), (2,4)}, where the input 1 has two outputs (2 and 3).