Understanding Constant and Increasing Functions

The video tutorial by Mr. Holcomb covers increasing, decreasing, and constant functions, using graphs to represent data. It includes exercises on matching scenarios to graphs, sketching graphs for various situations, analyzing smartphone shipment data, and creating a story from an account balance graph.

What type of function is represented by a linear graph with a positive slope?

• Decreasing function

• Constant function

• Increasing function

• Quadratic function

In the bathtub scenario, which graph represents a constant function?

• Bathtub containing 2.5 gallons without change

• Bathtub being drained

• Bathtub being filled at 2.5 gallons per minute

• Bathtub being filled at 1.7 gallons per minute

If a bathtub is being filled at a constant rate of 2.5 gallons per minute, what type of function does this represent?

• Exponential function

• Increasing function

• Constant function

• Decreasing function

What does a flat rate of $4.95 for a messenger service represent on a graph?

• Exponential function

• Constant function

• Decreasing function

• Increasing function

How does the pressure change as you dive deeper underwater?

• It decreases by 14.7 pounds per square inch every 10 meters

• It remains constant

• It increases by 14.7 pounds per square inch every 10 meters

• It increases by 20 pounds per square inch every 10 meters

What happens to the range of an electric car as the speed increases by 10 miles per hour?

• The range increases by 20 miles

• The range decreases by 20 miles

• The range remains the same

• The range decreases by 10 miles

During which period were no smartphones shipped due to a factory shutdown?

• Day 30 to Day 40

• Day 1 to Day 10

• Day 20 to Day 26

• Day 10 to Day 20

What does the flat section of the smartphone shipment graph indicate?

• Increased production

• Normal production

• Decreased production

• No shipments

In the account balance graph, what does the period of increase represent?

• Jameson was not working

• Jameson was spending money

• Jameson was working and earning money

• Jameson was on vacation

What does the decreasing section of the account balance graph indicate?

• Jameson was earning money

• Jameson was on vacation and spending money

• Jameson received a bonus

• Jameson was not working