Module 4 NG Flashcard - practice

Front

What is a function?

Back

A function is a relation where each input has exactly one output. It can be represented as a set of ordered pairs, a graph, or an equation.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function. If a vertical line intersects the curve at more than one point, it is not a function.

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, as the input values increase, the output values also increase.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, as the input values increase, the output values decrease.

Front

What is an increasing interval?

Back

An increasing interval is a range of x-values where the function's output values are rising.

Front

What is a decreasing interval?

Back

A decreasing interval is a range of x-values where the function's output values are falling.

Front

How can you identify a function from a mapping?

Back

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

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

What is a one-to-one function?

Back

A one-to-one function is a function where each output is paired with exactly one input, meaning no two different inputs produce the same output.