Linear Domain and Range

Front

What is the DOMAIN of a linear function?

Back

The domain of a linear function is the set of all possible x-values that can be input into the function.

Front

What is the RANGE of a linear function?

Back

The range of a linear function is the set of all possible y-values that can be output from the function.

Front

Define the term 'domain' in relation to a function.

Back

The domain is the set of all x-values for which the function is defined.

Front

Define the term 'range' in relation to a function.

Back

The range is the set of all y-values that the function can produce.

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the domain?

Back

D: {-4, 0, 1, 2}.

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the range?

Back

R: {-4, -3, 1}.

Front

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

Back

A mapping is a function if each input (x-value) corresponds to exactly one output (y-value).

Front

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

Back

The relation {(1,2), (1,3)} is not a function because the input 1 corresponds to two different outputs.

Front

How can you determine if a relation is a function using a graph?

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 significance of the notation x ≤ 5 in a domain?

Back

It indicates that x can take any value less than or equal to 5.