Alg Unit 3 Flashcard Review- Functions

Front

What is a function?

Back

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

Front

How can you determine if a relation is a function?

Back

A relation is a function if every input (x-value) has exactly one output (y-value). This can be checked using the vertical line test on a graph.

Front

What is the vertical line test?

Back

The vertical line test states that if a vertical line intersects a graph at more than one point, then the graph does not represent 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 over which the function's output values are rising.

Front

What is a decreasing interval?

Back

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

Front

What is a positive function?

Back

A function is positive on an interval if all output values (y-values) are greater than zero for that interval.

Front

What is a negative function?

Back

A function is negative on an interval if all output values (y-values) are less than zero for that interval.

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.