Interpreting Graphs: Sketching Functions from Descriptions

This lesson teaches how to sketch graphs by interpreting descriptions. It covers key concepts like x and y intercepts, rate of change, and applies these to real-life scenarios such as Joey's journey to a dance and the number of people attending a dance. The lesson emphasizes understanding the relationship between input and output to create accurate graphs.

What does the y-intercept of a graph represent?

• The rate of change of the function

• The maximum value of the function

• The initial value or starting point of the function

• The point where the graph crosses the x-axis

In Joey's story, what does the x-intercept signify?

• The time Joey started his journey

• The time Joey returned home

• The moment Joey reached the school

• The distance Joey was from the school initially

How far was Joey from the school after 4 minutes?

• 4 blocks

• 6 blocks

• 8 blocks

• 12 blocks

What happened to Joey's distance from the school when he sprinted back home?

• It decreased by 6 blocks

• It decreased by 4 blocks

• It remained the same

• It increased by 6 blocks

How many people were at the dance 1 hour before it started?

• 40 people

• 30 people

• 20 people

• 10 people

What was the rate of change in the number of people at the dance during the first hour?

• 40 people per hour

• 80 people per hour

• 20 people per hour

• 60 people per hour

At what time did the number of people at the dance reach zero?

• 3 hours after the dance started

• 4 hours after the dance started

• 5 hours after the dance started

• 6 hours after the dance started