Linear/NonLinear Functions

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

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 characterizes a Linear Function?

Back

A Linear Function has a constant rate of change and its graph is a straight line.

Front

What characterizes a Nonlinear Function?

Back

A Nonlinear Function does not have a constant rate of change and its graph is not a straight line.

Front

How can you identify a Linear Function from a table of values?

Back

If the differences between consecutive y-values are constant for equal intervals of x, the function is linear.

Front

How can you identify a Nonlinear Function from a graph?

Back

If the graph of the function curves or changes direction, it is nonlinear.

Front

What is a y-intercept?

Back

The y-intercept is the point where the graph of a function crosses the y-axis, represented as (0, y).

Front

What is a slope in a linear function?

Back

The slope is a measure of the steepness of the line, calculated as the change in y divided by the change in x.

Front

What does it mean for a function to have a constant rate of change?

Back

It means that for every unit increase in x, the increase in y is always the same.

Front

What is an example of a Linear Function?

Back

An example of a Linear Function is f(x) = 2x + 3.