Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, which means it has a constant rate of change or slope.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line, meaning its rate of change varies.

Front

How can you identify a linear function from a table of values?

Back

A linear function will have a constant slope, meaning the difference between consecutive y-values divided by the difference between consecutive x-values is the same.

Front

What is the slope of a linear function?

Back

The slope of a linear function is the ratio of the change in y to the change in x, often represented as 'm' in the equation y = mx + b.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by 'b' in the equation y = mx + b.

Front

Write the equation of a linear function given a slope of 3 and a y-intercept of 2.

Back

y = 3x + 2.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.

Front

How do you determine if a function is linear from a graph?

Back

If the graph is a straight line, the function is linear; if it curves, it is nonlinear.

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) has exactly one output (y-value).

Front

What does it mean for a function to be increasing?

Back

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