Linear or Not

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 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 form a straight line when graphed. Its graph can be curved or have various shapes.

Front

How can you identify a linear equation?

Back

A linear equation can be identified by its standard form, which is Ax + By = C, where A, B, and C are constants, and it has a degree of 1.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

What does the y-intercept represent?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x is 0.

Front

What is the difference between linear and nonlinear graphs?

Back

Linear graphs are straight lines, while nonlinear graphs can be curves, circles, or other shapes.

Front

Can a linear function have a negative slope?

Back

Yes, a linear function can have a negative slope, which means the line decreases as it moves from left to right.

Front

What is an example of a nonlinear function?

Back

An example of a nonlinear function is y = x^2, which forms a parabola when graphed.

Front

What does it mean for a function to be quadratic?

Back

A quadratic function is a type of nonlinear function that can be expressed in the form y = ax^2 + bx + c, where a, b, and c are constants.

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 it curves or changes direction, it is nonlinear.