Functions Vocab and Evaluating Review

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

What is a one-to-one function?

Back

A one-to-one function is a function where each input (x) has a unique output (y), and each output (y) corresponds to exactly one input (x).

Front

What tests can be used to determine if a function is one-to-one?

Back

To determine if a function is one-to-one, it must pass both the vertical line test and the horizontal line test.

Front

What does it mean for a table to represent a function?

Back

A table represents a function if each input (x-value) is associated with exactly one output (y-value).

Front

How do you express the range of a function in interval notation?

Back

The range of a function can be expressed in interval notation, which uses parentheses and brackets to indicate open and closed intervals.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is paired with exactly one output.

Front

What is the vertical line test?

Back

The vertical line test is a method used to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the horizontal line test?

Back

The horizontal line test is used to determine if a function is one-to-one; if a horizontal line intersects the graph at more than one point, it is not one-to-one.

Front

What is interval notation?

Back

Interval notation is a mathematical notation used to represent a range of values, using parentheses for open intervals and brackets for closed intervals.