Functions (ordered pairs & tables)

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

What is an ordered pair?

Back

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

Front

How can you determine if y is a function of x from a set of ordered pairs?

Back

y is a function of x if each x-value corresponds to exactly one y-value.

Front

What does it mean for a relation to not be a function?

Back

A relation is not a function if at least one x-value corresponds to more than one y-value.

Front

What is a table of values in relation to functions?

Back

A table of values lists pairs of x and y values, showing how y changes with x.

Front

Given the ordered pairs (1, 2), (2, 3), (1, 4), is y a function of x?

Back

No, because the x-value 1 corresponds to two different y-values (2 and 4).

Front

What is the vertical line test?

Back

The vertical line test states that if a vertical line intersects a graph at more than one point, the relation is not a function.

Front

If a function is represented as f(x) = 2x + 3, what is f(2)?

Back

f(2) = 2(2) + 3 = 7.

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.