Analyzing Function Behavior and Ferris Wheel Motion

This video tutorial for Grade 8, Module 6, Lesson 5, covers linear functions, focusing on increasing and decreasing functions. It explains how the graph of a function can describe relationships between quantities, highlighting the constant rate of change in linear functions. The lesson includes an exit card exercise analyzing a Ferris wheel graph to identify intervals of increase and decrease, and discusses the concept of complete revolutions.

What is a key characteristic of a linear function?

• It is always decreasing.

• It is always increasing.

• It has a constant rate of change.

• It has a variable rate of change.

How can you identify an increasing function from its graph?

• The graph is a vertical line.

• The graph has a positive slope.

• The graph is a horizontal line.

• The graph has a negative slope.

What does a decreasing function's graph look like?

• It is a vertical line.

• It is a horizontal line.

• It has a negative slope.

• It has a positive slope.

Can a function both increase and decrease over different intervals?

• No, it cannot.

• Yes, it can.

• Only if it is a quadratic function.

• Only if it is a linear function.

During which interval is the Ferris wheel's function increasing?

• 44 to 48 seconds

• 52 to 56 seconds

• 56 to 60 seconds

• 64 to 66 seconds

What happens to the Ferris wheel between 60 to 64 seconds?

• It speeds up.

• It slows down.

• It stops moving.

• It reverses direction.

How many complete revolutions does the Ferris wheel make in 40 seconds?

• Four revolutions

• Three revolutions

• Two revolutions

• Five revolutions

Which interval shows the Ferris wheel's function decreasing?

• 40 to 44 seconds

• 52 to 56 seconds

• 56 to 60 seconds

• 72 to 76 seconds

What is the significance of the different colors on the Ferris wheel graph?

• They indicate different intervals of time.

• They represent different speeds.

• They show different heights.

• They depict different revolutions.

What could be happening during the intervals when the Ferris wheel is not moving?

• The wheel is decelerating.

• The wheel is accelerating.

• The wheel is being repaired.

• Riders are getting on or off.