Analyzing Functions and Graphs

This lesson covers increasing, decreasing, and constant functions, focusing on qualitative and quantitative analysis. Exercises include analyzing graphs of bathtub scenarios, sketching graphs for various situations, matching graph parts to smartphone shipping scenarios, and writing a story based on a bank account graph. The lesson concludes with a summary and review of key concepts.

What is the main focus of the lesson on increasing, decreasing, and constant functions?

• Neither qualitative nor quantitative analysis

• Quantitative analysis only

• Qualitative analysis only

• Both qualitative and quantitative analysis

In the bathtub scenario, what does a horizontal line on the graph indicate?

• The bathtub is being filled

• The bathtub is overflowing

• The bathtub is being drained

• The amount of water is constant

Which scenario describes a bathtub being drained at a constant rate?

• A bathtub filled at 1.75 gallons per minute

• A bathtub drained at 2.5 gallons per minute

• A bathtub containing 2.5 gallons of water

• A bathtub filled at 2.5 gallons per minute

In the messenger service scenario, what type of function represents the delivery charge?

• Increasing function

• Decreasing function

• Exponential function

• Constant function

How does the pressure change as you dive deeper underwater according to the graph?

• The pressure fluctuates

• The pressure increases

• The pressure remains constant

• The pressure decreases

What happens to the range of an electric car as the speed increases?

• The range remains constant

• The range decreases

• The range increases

• The range doubles

In the smartphone shipment graph, what does a flat line indicate?

• Smartphones are being shipped at a constant rate

• Smartphones are being returned

• Smartphones are not being shipped

• Smartphones are being shipped at a faster rate

Which part of the graph represents a normal production schedule for smartphone shipments?

• Part B

• Part A

• Part C

• None of the above

What could cause an account balance to remain unchanged over a period?

• Regular deposits

• No transactions

• Fluctuating interest rates

• Regular withdrawals

During which days does Jameson's account balance increase?

• Days 9 to 14

• Days 0 to 6

• Days 6 to 9

• Days 0 to 14