Comparing Linear and Nonlinear Functions

What is a key characteristic of a linear function?

• It has a constant rate of change.

• It has a variable rate of change.

• It forms a curve on a graph.

• It cannot be represented in a table.

If a function's rate of change is not constant, what type of function is it?

• Linear

• Nonlinear

• Quadratic

• Exponential

In a table, how can you identify a linear function?

• The values decrease by different amounts.

• The values form a curve.

• The rate of change is constant.

• The values increase by different amounts.

What does a linear function look like on a graph?

• A circle

• A zigzag pattern

• A straight line

• A curve

Which of the following is the standard form of a linear equation?

• Y = M/X + B

• Y = MX^2 + B

• Y = X^2 + B

• Y = MX + B

What makes an equation nonlinear?

• Having a variable in the denominator

• Having no variables

• Having a linear graph

• Having a constant rate of change

Which of the following is an example of a linear equation?

• Y = 1/X + 2

• Y = X^2 + 3

• Y = 3X^2 + 1

• Y = 4X - 4

What type of interest is typically easier to calculate?

• Compound interest

• Simple interest

• Annual interest

• Monthly interest

How does account A's balance change over time compared to account B?

• Account A decreases while account B increases.

• Account A increases more rapidly than account B.

• Account B increases more rapidly than account A.

• Both accounts increase at the same rate.

What is the main difference between the graphs of account A and account B?

• Both accounts are nonlinear.

• Account A is linear, and account B is nonlinear.

• Both accounts are linear.

• Account A is nonlinear, and account B is linear.