Unlimited and Ungraded Practice Relations as Functions

Front

What is a function?

Back

A function is a relation in which each input (x-value) is associated with 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 relation is a function. If a vertical line intersects the graph of the relation at more than one point, it is not a function.

Front

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

Back

A relation is a function if every input has exactly one output.

Tags

CCSS.8.F.A.1

Front

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

Back

No, because the input 1 has two different outputs (2 and 4).

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

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.

Front

If a function has the ordered pairs {(2, 5), (3, 7), (4, 5)}, what is the output when the input is 2?

Back

The output is 5.

Tags

CCSS.HSF.IF.A.1

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 a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form y = mx + b.

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4