Relations and Functions Review

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

Given the function f(x) = 2x + 3, what is f(4)?

Back

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

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 do you find the domain from a set of ordered pairs?

Back

The domain is found by listing all the first elements (x-values) of the ordered pairs.

Front

How do you find the range from a set of ordered pairs?

Back

The range is found by listing all the second elements (y-values) of the ordered pairs.

Front

What is a function?

Back

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

Front

Evaluate y = 3x - 2 when x = 5.

Back

y = 3(5) - 2 = 15 - 2 = 13.

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 does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.