Chapter 7 - Functions Review

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y) that the function can produce.

Front

How do you determine if a relation is a function?

Back

A relation is a function if each input (x) corresponds to 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.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line and may include curves or other shapes.

Front

What does it mean for a function to be defined?

Back

A function is defined for a specific input if there is a corresponding output value.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x) for which the function is defined.

Front

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

Back

To find the range, list all the second elements (y-values) from the ordered pairs and remove duplicates.

Front

What is the slope of a linear function?

Back

The slope of a linear function is a measure of how steep the line is, calculated as the change in y divided by the change in x (rise/run).

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, represented as (0, b) in the equation y = mx + b.