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.

Tags

CCSS.8.F.A.1

Front

What are ordered pairs?

Back

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

Tags

CCSS.5.G.A.1

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.

Tags

CCSS.8.F.A.3

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.

Tags

CCSS.8.F.A.3

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).

Tags

CCSS.8.F.A.1

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.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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.