Functions(Domain and Range)

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Tags

CCSS.8.F.A.1

Front

What is the domain of a function?

Back

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

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.

Front

What is the vertical line test?

Back

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

Front

If f(x) = 3x + 2, what is f(1)?

Back

f(1) = 3(1) + 2 = 5.

Tags

CCSS.HSF.IF.A.2

Front

If a function has a domain of {1, 2, 3}, what can you say about its range?

Back

The range can vary, but it must have an output for each input in the domain.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What does it mean if a table does not represent a function?

Back

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

Tags

CCSS.8.F.A.1

Front

If the function is defined as y = x^2, what is the range?

Back

The range is all non-negative real numbers (y ≥ 0).

Front

What is an example of a function?

Back

An example of a function is f(x) = x + 1, where each input x has a unique output.

Tags

CCSS.8.F.A.1

Front

What is a non-function?

Back

A non-function is a relation where at least one input is associated with multiple outputs.

Tags

CCSS.8.F.A.1