Comparing Linear and Nonlinear Functions

What is a non-linear function?

• A function without a constant rate of change

• A function with a constant rate of change

• A function that has no slope

• A function that forms a straight line

In the table, if the change in x is constant and the change in y is constant, what type of function is it?

• Non-linear

• Linear

• Quadratic

• Exponential

If the change in y values in a table is not constant, what can be concluded about the function?

• It is linear

• It is non-linear

• It is quadratic

• It is exponential

What does a straight line on a graph indicate about the function?

• It is exponential

• It is linear

• It is quadratic

• It is non-linear

If a graph is not a straight line, what type of function does it represent?

• Exponential

• Quadratic

• Non-linear

• Linear

Which form represents a linear equation?

• y = mx + b

• y = 4/x

• y = x^2

• y = 2^x

Why is the equation y = 4/x considered non-linear?

• Because it has a constant rate of change

• Because it can be written in slope-intercept form

• Because the variable is in the denominator

• Because it forms a straight line

What type of interest does Account A earn in the real-life application example?

• Simple interest

• Variable interest

• Compound interest

• No interest

Why is Account B considered non-linear in the real-life application example?

• Because it earns simple interest

• Because it starts at $100

• Because it is not a straight line

• Because it has a constant rate of change

What is the main difference between Account A and Account B in the real-life application example?

• Account A starts at $100, Account B starts at $200

• Account A is non-linear, Account B is linear

• Account A has a constant rate of change, Account B does not

• Account A earns compound interest, Account B earns simple interest