Linear and Non-Linear Functions

Front

What is a linear function?

Back

Front

What is a non-linear function?

Back

A non-linear function is a function that does not form a straight line when graphed. It can include quadratic, cubic, exponential, and other types of functions.

Front

How can you identify a linear function from an equation?

Back

Front

What does the slope of a linear function represent?

Back

Front

What is the y-intercept in a linear function?

Back

Front

What is the difference between a linear sequence and a non-linear sequence?

Back

A linear sequence has a constant difference between consecutive terms, while a non-linear sequence does not have a constant difference.

Front

Identify if the following sequence is linear or non-linear: 4, 8, 12, 16, 20...

Back

Linear, as the difference between consecutive terms is constant (4).

Front

Identify if the following sequence is linear or non-linear: 5, 10, 20, 30, 40...

Back

Non-linear, as the differences between terms are not constant (5, 10, 10, 10).

Front

What is the graphical representation of a linear function?

Back

The graph of a linear function is a straight line.

Front

What is the graphical representation of a non-linear function?

Back

The graph of a non-linear function can be a curve, parabola, or any shape that is not a straight line.