Linear/NonLinear Functions

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line. It 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. Its graph can be a curve or any shape that is not a straight line.

Front

What does the slope of a line represent?

Back

The slope of a line represents the steepness of the line, indicating how much y changes for a change in x.

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

How can you identify a linear graph?

Back

A linear graph can be identified by its straight line, which has a constant slope.

Front

What is the difference between a function and a relation?

Back

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

Front

What does it mean if a function is increasing?

Back

A function is increasing if, as the x-values increase, the y-values also increase.

Front

What does it mean if a function is decreasing?

Back

A function is decreasing if, as the x-values increase, the y-values decrease.

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, represented by the value of b in the equation y = mx + b.