What is a Function

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 definition of a relation in mathematics?

Back

A relation is a set of ordered pairs, typically representing a relationship between two sets.

Tags

CCSS.8.F.A.1

Front

What does it mean for a set of values to be a function?

Back

A set of values is a function if each input (first element of the pair) corresponds to exactly one output (second element of the pair).

Tags

CCSS.8.F.A.1

Front

Which of the following is a function? (9,5) (10,5) (9,-5) (10,-5) or (6,-5) (7,-3) (8,-1) (9,1)?

Back

(6,-5) (7,-3) (8,-1) (9,1) is a function because each input is unique.

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

Back

The relation (3,4) (4,-3) (7,4) (3,8) is not a function because the input '3' corresponds to two different outputs (4 and 8).

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, since f(4) = 2(4) + 3 = 11.

Tags

CCSS.HSF.IF.A.2

Front

What does it mean if a function is linear?

Back

A linear function is a function that graphs to a straight line, which can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

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.