Exploring Linear and Nonlinear Functions in 8th Grade Math

The video tutorial covers linear and non-linear functions, explaining how to identify them using graphs and tables. It emphasizes the importance of slope calculation in determining function types and provides examples for practice. The tutorial also discusses the characteristics of linear functions, such as a constant rate of change, and contrasts them with non-linear functions, which have varying rates of change.

What should you do if you miss an important point while watching the video?

• Fast forward the video

• Pause and rewind the video

• Skip to the end

• Watch another video

Which of the following is true about a linear function?

• It forms a curved line on a graph

• It has varying slopes

• It always decreases

• It has a constant rate of change

How can you identify a non-linear function from a table of values?

• By checking if the rate of change is constant

• By checking if the rate of change varies

• By checking if the values are all positive

• By checking if the values are all negative

What is the slope formula used to determine if a function is linear?

• Product of x and y

• Change of y over change of x

• Sum of x and y

• Change of x over change of y

What does a slope of 0 indicate about a function?

• The function is non-linear

• The function is linear with a constant rate of change

• The function has no rate of change

• The function is undefined

If a graph shows a straight line, what type of function does it represent?

• Exponential

• Linear

• Quadratic

• Non-linear

In the example problem, what is the slope of the function with points (-4, -2), (1, -2), and (4, -2)?

• 0

• 1

• 2

• 3

What does it mean if the slopes calculated from different points in a table are not equal?

• The function is undefined

• The function is linear

• The function is non-linear

• The function is constant

How can you simplify the slope if it appears different but might be the same?

• By ignoring the values

• By reducing the fraction

• By multiplying the numerator and denominator

• By adding the numerator and denominator

What should you do if you are unsure about the slope values?

• Use a calculator to divide the numbers

• Ask a friend

• Guess the values

• Skip the problem