Functions Study Guide

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

How do you determine if a graph is increasing, decreasing, or has no change?

Back

A graph is increasing if the y-values rise as x-values increase, decreasing if y-values fall as x-values increase, and has no change if y-values remain constant.

Front

What is a function?

Back

A function is a relation that assigns exactly one output value for each input value.

Front

What are ordered pairs?

Back

Ordered pairs are pairs of numbers (x, y) that represent coordinates on a graph.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, meaning it has a constant rate of change.

Front

What does it mean for a function to be nonlinear?

Back

A nonlinear function is a function that does not graph to a straight line, indicating a variable rate of change.

Front

How can you tell if a set of ordered pairs represents a function?

Back

A set of ordered pairs represents a function if no two pairs have the same first element (x-value) with different second elements (y-values).

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 a table of values in relation to functions?

Back

A table of values lists pairs of input and output values for a function, showing how each input corresponds to an output.

Front

What is a graph of a function?

Back

A graph of a function visually represents the relationship between input values (x) and output values (y) on a coordinate plane.