Comparing Linear and Nonlinear Functions

The video tutorial covers the basics of linear and nonlinear functions, explaining how to identify them using tables and graphs. It discusses the concept of constant rate of change, known as slope, and how it applies to linear functions. The tutorial also explores function formulas, focusing on the slope-intercept form, and highlights how to recognize nonlinear functions. Additionally, it compares simple and compound interest through graphing, providing a practical application of the concepts discussed.

What is a key characteristic of a linear function?

• It has a variable in the denominator.

• It shows a constant rate of change.

• It has an exponent.

• It forms a curved line.

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How can you identify a linear function from a table?

• By checking if the values are multiplied by the same number.

• By checking if the values are added or subtracted by the same number.

• By checking if the values are divided by the same number.

• By checking if the values are squared.

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What indicates that a function is nonlinear when looking at a table?

• The values are multiplied by the same number.

• The values are subtracted by the same number.

• The values are added by the same number.

• The values are not added or subtracted by the same number.

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Which of the following is a dead giveaway that a function is not linear?

• The function has a constant rate of change.

• The variable is in the denominator.

• The function can be written in slope-intercept form.

• The function forms a straight line.

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CCSS.8.F.A.3

Which function formula represents a nonlinear function?

• y = 0x + 4.7

• y = 3.14x + 0

• y = 4x - 4

• y = 4.7 / x

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CCSS.8.F.A.3

What is the difference between simple and compound interest?

• Simple interest is always higher than compound interest.

• Simple interest is calculated once, compound interest is calculated multiple times.

• Simple interest is calculated on the principal, compound interest is calculated on the principal and accumulated interest.

• Simple interest is always linear, compound interest is always nonlinear.

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How do you graph account A for simple interest?

• By plotting points that form a curved line.

• By plotting points that form a straight line.

• By plotting points that form a zigzag line.

• By plotting points that form a horizontal line.

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

• Both accounts increase at the same rate.

• Account A decreases while account B increases.

• Account A increases quicker than account B.

• Account B increases quicker than account A.

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What makes a function nonlinear in terms of its graph?

• It forms a curved line.

• It forms a straight line.

• It can be written in slope-intercept form.

• It has a constant rate of change.

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CCSS.8.F.A.3

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

• y = 4/3x + 0

• y = 4.7 / x

• y = 2x^2 + 5

• y = x^2 + 3

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