Linear Non Linear

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not form a straight line when graphed. Its graph can be curved or have various shapes, and it does not have a constant rate of change.

Tags

CCSS.8.F.A.3

Front

How can you identify a linear function from its equation?

Back

A linear function can be identified by its equation in the form y = mx + b, where m and b are constants. If the equation involves variables raised to a power greater than one, it is nonlinear.

Tags

CCSS.8.F.A.3

Front

What is the slope of a linear function?

Back

The slope of a linear function is a measure of its steepness, represented by 'm' in the equation y = mx + b. It indicates how much y changes for a unit change in x.

Tags

CCSS.8.EE.B.5

Front

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

Back

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

Front

Can a linear function have a slope of zero?

Back

Yes, a linear function can have a slope of zero, which means it is a horizontal line. This indicates that the output value (y) does not change regardless of the input value (x).

Tags

CCSS.8.EE.B.5

Front

What is an example of a nonlinear function?

Back

An example of a nonlinear function is f(x) = x^2, which represents a parabola. The graph of this function is curved, not a straight line.

Tags

CCSS.8.F.A.3

Front

How do you determine if a graph is linear or nonlinear?

Back

To determine if a graph is linear or nonlinear, check if it forms a straight line. If the graph curves or changes direction, it is nonlinear.

Tags

CCSS.8.F.A.3

Front

What is the general form of a quadratic function?

Back

The general form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What is the difference between a linear equation and a nonlinear equation?

Back

A linear equation represents a straight line and has a constant rate of change, while a nonlinear equation can represent curves and does not have a constant rate of change.

Tags

CCSS.8.F.A.3