Functions, Functions, Functions

Front

What is a function?

Back

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

Tags

CCSS.8.F.A.1

Front

How can you determine if a graph represents 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

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

Back

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

Front

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

Back

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

Front

What is a mapping in the context of functions?

Back

A mapping shows how each element of the domain is paired with an element in the range.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

Can a function have two different outputs for the same input?

Back

No, a function cannot have two different outputs for the same input.

Tags

CCSS.8.F.A.1

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.

Tags

CCSS.8.F.A.1

Front

What is an example of a function?

Back

f(x) = 2x + 3 is a function because each x-value has one corresponding y-value.

Tags

CCSS.8.F.A.1