Functions or Not Functions Flashcard

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

Is the graph of a circle a function?

Back

No, the graph of a circle is not a function because a vertical line can intersect it at two points.

Front

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

Back

A mapping is a function if every input is paired with exactly one output.

Tags

CCSS.8.F.A.1

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

Tags

CCSS.8.F.A.1

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on a graph, where 'x' is the input and 'y' is the output.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

If (3, 5) and (3, 7) are points in a mapping, is it a function?

Back

No, it is not a function because the input '3' has two different outputs (5 and 7).

Tags

CCSS.8.F.A.1

Front

What is the definition of a relation?

Back

A relation is a set of ordered pairs, which can represent a function or not.

Tags

CCSS.8.F.A.1

Front

What is the output of the function f(x) = 2x + 3 when x = 4?

Back

The output is 11, because f(4) = 2(4) + 3 = 11.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.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 can be used in the function.