1B: Ordered Pairs (Functions)

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system, typically written as (x, y).

Tags

CCSS.5.G.A.1

Front

What is a function?

Back

A function is a relation where each input (x-value) is associated with exactly one output (y-value).

Tags

CCSS.8.F.A.1

Front

Is the relation {(4,5), (4,-7), (4,2), (4,0), (4,9)} a function?

Back

No, because the input 4 is associated with multiple outputs.

Tags

CCSS.8.F.A.1

Front

Which represents y as a function of x? A: y = 2x + 3, B: y = x^2, C: y = 3, D: y = x + 1

Back

D: y = x + 1, because for each x, there is exactly one y.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

Which represents y as a function of x? A: y = 2, B: y = x + 1, C: y = x^2, D: y = x + 2

Back

A: y = 2, because it is a constant function.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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

Which ordered pair could you add to the following list to create a function? (3, 5), (4, 9), (2, 5)

Back

(1, 9) is valid because it does not repeat any x-values.

Tags

CCSS.8.F.A.1

Front

Is the relation {(1,2), (2,3), (3,4), (2,5)} a function?

Back

No, because the input 2 is associated with two different outputs (3 and 5).

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 at more than one point, it is not a function.

Front

What is the domain of a function?

Back

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