Relations and Functions

Front

What is the definition of a function?

Back

A function is a relation where every input has only ONE output.

Tags

CCSS.8.F.A.1

Front

Is the mapping {(1,2), (2,3), (3,4)} a function?

Back

Yes, it is a function.

Tags

CCSS.8.F.A.1

Front

In the relation {(-1,2), (-2,4), (2,5), (0,-2), (2,0)}, what domain value corresponds to the range value -2?

Back

0

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What do we call a relation where every input yields one and only one output?

Back

Function

Tags

CCSS.8.F.A.1

Front

Which relation is NOT a function? {(1,-5), (3,1), (-5,4), (4,-2)}, {(2,7), (3,7), (4,7), (5,8)}, {(1,-5), (-1,6), (1,5), (6,-3)}, {(3,-2), (5,-6), (7,7), (8,8)}?

Back

{(1,-5), (-1,6), (1,5), (6,-3)}

Tags

CCSS.8.F.A.1

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

If a function is defined 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 linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form f(x) = mx + b.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between the domain and range of a function.