Comparing Linear and Non-Linear Functions

The video tutorial covers the differences between linear and non-linear functions, explaining how to identify them using tables and graphs. It discusses the characteristics of linear functions, such as a constant rate of change, and contrasts them with non-linear functions. The tutorial also explores equations that represent these functions and compares simple and compound interest as examples of linear and non-linear growth. Finally, it provides exercises for students to practice identifying function types.

What is a key characteristic of a linear function's graph?

• It forms a curve.

• It has a constant rate of change.

• It is always horizontal.

• It has varying slopes.

In a table, what indicates a linear function?

• Both x and y values change by constant amounts.

• The y-values change by different amounts.

• The x-values change by different amounts.

• The y-values remain constant.

If the y-values in a table change by different amounts, what type of function is it?

• Linear

• Non-linear

• Constant

• Undefined

What does a curved line on a graph indicate?

• A constant function

• A vertical line

• A non-linear function

• A linear function

Which type of line on a graph represents a linear function?

• Diagonal line

• Horizontal line

• Vertical line

• Curved line

Which equation form represents a linear function?

• y = 4/x

• y = mx + b

• y = 1/x

• y = x^2 + 1

Which of the following equations is non-linear?

• y = 4x - 4

• y = 4/x

• y = πx

• y = 4.7

What type of interest does Account A earn?

• Compound interest

• Simple interest

• No interest

• Variable interest

How does Account B's interest compare to Account A's?

• Account B earns no interest.

• Account B earns more interest over time.

• Account B earns the same interest as Account A.

• Account B earns less interest over time.

What type of function represents Account B's interest?

• Undefined

• Constant

• Non-linear

• Linear