Exploring Linear and Nonlinear Functions

What is the first step in determining if a relationship is proportional?

• Check if the graph is a straight line

• Cross multiply the values

• Add the values

• Subtract the values

What does a constant rate of change in a table indicate?

• The function is nonlinear

• The function is linear

• The function is proportional

• The function is undefined

How do you identify a linear function on a graph?

• Check if it passes through the origin

• Check if it has an exponent

• Look for a straight line

• Look for a curvy line

Which of the following is NOT a characteristic of a linear equation?

• It has no exponents

• It has an x and y variable

• It includes division by x

• It forms a straight line on a graph

What is the main difference between linear and nonlinear functions in a table?

• Linear functions have a constant rate of change

• Linear functions have exponents

• Nonlinear functions have a constant rate of change

• Nonlinear functions have no exponents

What does a curvy line on a graph indicate?

• The function is linear

• The function is nonlinear

• The function is proportional

• The function is undefined

Which of the following equations represents a nonlinear function?

• y = 2x + 3

• y = x^2 + 1

• y = 3x - 4

• y = 5x + 2

What should you check for in an equation to determine if it is linear?

• None of the above

• Both a and b

• Division by x

• Presence of exponents

If a table shows that the x-values increase by 1 and the y-values increase by 2, what type of function is it?

• Nonlinear

• Undefined

• Linear

• Proportional

Which of the following is true for a nonlinear function?

• It is always proportional

• It may have exponents or division by x

• It forms a straight line on a graph

• It has a constant rate of change