Exploring Domain and Range in Relations and Functions

What is a relation in mathematical terms?

• A set of all input values

• A set of all output values

• A function with multiple outputs

• A mapping of input values to output values

Which of the following best describes the domain of a function?

• The set of all output values

• The set of all input values

• The set of all y-values

• The set of all dependent variables

What is the range of a function?

• The set of all output values

• The set of all input values

• The set of all independent variables

• The set of all x-values

What makes a relation a function?

• Each input has only one output

• Each output has multiple inputs

• Each input has multiple outputs

• Each output has only one input

What is the vertical line test used for?

• To determine the range of a function

• To determine the domain of a function

• To determine if a relation is a function

• To determine if a function is linear

In interval notation, how do you denote that a value is included?

• Using a semicolon

• Using a bracket

• Using a parenthesis

• Using a comma

What does an open circle on a graph indicate?

• The value is included

• The value is not included

• The value is negative

• The value is zero

What is the domain of a function that extends infinitely to the left and right?

• All negative numbers

• All positive numbers

• All integers

• All real numbers

If a function's graph passes the vertical line test, what can be concluded?

• It is not a function

• It is a function

• It has multiple outputs for one input

• It has multiple inputs for one output

What does the notation f(x) represent?

• The function itself

• The domain of the function

• The output value

• The input value