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 two-dimensional space, written in the form (x, y), where x is the first element (input) and y is the second element (output).

Tags

CCSS.5.G.A.1

Front

What does it mean for y to be a function of x?

Back

For y to be a function of x, each input value (x) must correspond to exactly one output value (y). This means that no two ordered pairs can have the same x-value with different y-values.

Tags

CCSS.8.F.A.1

Front

Identify if the following set represents y as a function of x: (1, 2), (2, 3), (1, 4).

Back

No, this set does NOT represent y as a function of x because the x-value '1' corresponds to two different y-values (2 and 4).

Tags

CCSS.8.F.A.1

Front

What is the vertical line test?

Back

The vertical line test is a method used to determine if a curve is a function. If any vertical line intersects the curve at more than one point, then the curve does not represent a function.

Front

Given the ordered pairs (2, 3), (3, 5), (2, 7), does this represent y as a function of x?

Back

No, this does NOT represent y as a function of x because the x-value '2' corresponds to two different y-values (3 and 7).

Tags

CCSS.8.F.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 is defined as f(x) = 2x + 3, what is f(4)?

Back

f(4) = 2(4) + 3 = 8 + 3 = 11.

Tags

CCSS.HSF.IF.A.2

Front

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

Back

A relation is a function if every input (x-value) has exactly one output (y-value).

Tags

CCSS.8.F.A.1

Front

Can a function have the same y-value for different x-values?

Back

Yes, a function can have the same y-value for different x-values. For example, (1, 2) and (3, 2) are valid pairs in a function.

Tags

CCSS.8.F.A.1