Lesson 3.6: Sketch Functions from Verbal Descriptions

Lesson 3.6: Sketch Functions from Verbal Descriptions

By Reed Carbone

Key Concept:

​We can sketch a graph of a function from a verbal description. We can do this by paying attention to words that describe things like positive slope (increasing), negative slope (decreasing) and not moving (remaining constant).

Subject | Subject

Some text here about the topic of discussion

​Danika is sketching her ski trip:

​A baker has already made 10 cakes. She can make the same number of each cakes an hour which she will do for 5 hours. Sketch the function:

​When a laptop first became available, the sales were high the first week. They decreased over the next two weeks before remaining steady for two weeks and then began to increase slightly the following week.

Draw

Melody starts at her house and rides her bike for 10 minutes to a friends house. She then stays at her friends house for 60 minutes. Sketch the graph.

Draw

Aaron's mother drives to the gas station and fills up her tank. Then she drives to the market. Sketch a graph to model this.

Draw

A class plants a tree that is 3 feet tall and then it grows consistently until it is cut down. Sketch a graph to model this function.

Draw

An air cannon launches a T-Shirt upward into the stands. It reaches a maximum height, and then descends until a fan catches it. Graph this function.

Multiple Choice

• Jefferey started by running as fast as he could, then he took a break and slowly walked for the rest of his workout.

• Maddy steadily jogged and then ran as fast as she could before resting for the rest of her workout.

• Elaine started her workout moderately before taking a break and then ended her workout with high intensity cardio.

• Tyrese stared his workout by resting and stretching, then he slowly started working out before finishing with high intensity squats.

​Conclusion: Write 2 complete sentences about what you learned.