Domain, Range, Functions

Front

What is a function?

Back

A function is a relation between a set of inputs (domain) and a set of possible outputs (range) where each input is related to exactly one output.

Front

Define domain in the context of functions.

Back

The domain of a function is the complete set of possible values of the independent variable (input) for which the function is defined.

Front

Define range in the context of functions.

Back

The range of a function is the complete set of possible values of the dependent variable (output) that results from using the function.

Front

True or False: The domain of a function can include negative numbers.

Back

True

Front

What does it mean if a function is graphed and a point is on the graph?

Back

It means that the input value (x-coordinate) corresponds to the output value (y-coordinate) defined by the function.

Front

What is the notation for the domain of a function?

Back

The domain is often expressed in interval notation, such as [a, b) or (a, b].

Front

What is the greatest value in the range of the function y = -2x + 4 when the domain is {-5, -1, 5, 1}?

Back

The greatest value in the range is 14.

Front

How do you find the domain of a function from its graph?

Back

Identify all the x-values for which the function has corresponding y-values on the graph.

Front

What is the domain of the function g(x) = x - 1 if the range is {-1, 1, 2}?

Back

The domain is {0, 2, 3}.

Front

What does the notation -6 ≤ x ≤ 6 represent?

Back

It represents the domain of a function where x can take any value from -6 to 6, inclusive.