Function or Not a Function

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

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

What does it mean for a relation to be 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).

Tags

CCSS.8.F.A.1

Front

Given the set of ordered pairs {(1, 2), (2, 3), (3, 4)}, is this a function?

Back

Yes, this is a function because each x-value is unique.

Tags

CCSS.8.F.A.1

Front

Given the set of ordered pairs {(1, 2), (1, 3), (2, 4)}, is this a function?

Back

No, this is not a function because the x-value '1' is associated with two different y-values (2 and 3).

Tags

CCSS.8.F.A.1

Front

What is an example of a function in real life?

Back

An example of a function in real life is a vending machine: each button (input) corresponds to one specific item (output).

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the definition of a domain in a function?

Back

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the definition of a range in a function?

Back

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

If a function is represented as f(x) = 2x + 3, what is f(2)?

Back

f(2) = 2(2) + 3 = 7.

Tags

CCSS.HSF.IF.A.2

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with its corresponding output.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1