Relations (Intro to functions)

Front

What is an independent variable?

Back

An independent variable is a variable that is manipulated or changed in an experiment to test its effects on the dependent variable.

Front

What is a dependent variable?

Back

A dependent variable is a variable that is measured in an experiment and is affected by changes in the independent variable.

Front

What is the origin in a coordinate plane?

Back

The origin is the point where the x-axis and y-axis intersect, represented by the coordinates (0,0).

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input (x) and an output (y).

Front

What is the range of a relation?

Back

The range of a relation is the set of all possible output values (y-values) that correspond to the input values (x-values).

Front

How do you find the range from a set of ordered pairs?

Back

To find the range, list all the unique y-values from the ordered pairs.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input (x) values increase, the output (y) values also increase.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as the input (x) values increase, the output (y) values decrease.

Front

What is a function?

Back

A function is a special type of relation where each input (x) is associated with exactly one output (y).

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.