Identify Functions/Domain and Range- Lipscomb

Front

What is the definition of a function?

Back

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

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

Identify the domain of the relation: {(-6,14), (0,32), (2,38), (4,44)}

Back

{-6, 0, 2, 4}.

Front

Identify the range of the relation: {(-6,14), (0,32), (2,38), (4,44)}

Back

{14, 32, 38, 44}.

Front

Which of the following is a function? A: { (1,2), (1,3) }, B: { (2,3), (3,4) }, C: { (4,5), (4,6) }, D: { (5,6), (6,7) }

Back

D: { (5,6), (6,7) } is a function.

Front

What is an example of a non-function?

Back

An example of a non-function is the relation { (1,2), (1,3) } because the input 1 has two different outputs.

Front

What does it mean for a relation to be a function?

Back

For a relation to be a function, each input must correspond to exactly one output.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a relation is a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the notation for domain?

Back

The notation for domain is often written as D(f) or simply as the set of x-values.