Functions, Domain and Range

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input from its domain.

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 a function.

Front

What is the range of a function?

Back

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

Front

How do you determine if a relation is a function?

Back

A relation is a function if no two ordered pairs have the same first element (x-value).

Tags

CCSS.8.F.A.1

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represents a point in a coordinate system.

Tags

CCSS.5.G.A.1

Front

Identify the domain of the relation {(2, 3), (4, 5), (6, 7)}.

Back

The domain is {2, 4, 6}.

Front

Identify the range of the relation {(1, 2), (3, 4), (5, 6)}.

Back

The range is {2, 4, 6}.

Front

What does it mean for a function to be one-to-one?

Back

A one-to-one function is a function where each output is produced by exactly one input.

Front

What is a vertical line test?

Back

The vertical line test is a method to determine if a curve is a function by checking if any vertical line intersects the curve at more than one point.

Front

If a function has a domain of {1, 2, 3}, what are the possible outputs?

Back

The outputs can vary; they depend on the specific function defined.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1