Non-Linear and Linear Functions Concepts

This tutorial covers the differences between linear and non-linear functions. Linear functions have a constant rate of change, represented by a straight line on a graph. Non-linear functions do not have a constant rate of change and often involve exponents, resulting in curves on a graph. The video provides examples and explains how to graph these functions using tables.

What is a key characteristic of a linear function?

• It cannot be graphed.

• It always forms a curve.

• It has a variable rate of change.

• It has a constant rate of change.

In the equation y = 3x - 1, what does the number 3 represent?

• The constant term

• The x-intercept

• The slope

• The y-intercept

What does the slope of a linear function indicate?

• The y-intercept

• The rate of change

• The x-intercept

• The maximum value

What is the y-intercept in the equation y = -2/3x - 2?

• 3

• -2

• 0

• -2/3

How does a non-linear function differ from a linear function?

• It has a constant rate of change.

• It forms a straight line.

• It does not have a constant rate of change.

• It cannot be represented in a table.

Which of the following is an example of a non-linear function?

• y = -x + 4

• y = x^2

• y = 2x + 3

• y = 3x - 1

What is the shape of the graph of a non-linear function like y = x^2?

• A hyperbola

• A circle

• A parabola

• A straight line

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

• The x values decrease.

• The x values are constant.

• The y values increase by the same amount.

• The change in y over change in x is not constant.

In the function y = 4/x, what happens as x increases?

• y remains constant

• y becomes undefined

• y becomes negative

• y approaches zero

What is the result of 4 divided by 3 in the function y = 4/x?

• 1

• 4/3

• 3

• 0