Lesson 3: Function Notation
Problem1. Here are the graphs of some situations you saw before. Each graph represents the distance of a dog from a post as a function of time since the dog owner left to purchase something from a store. Distance is measured in feet and time is measured i
| Day 1 | Day 2 | Day 3 |
 |  |  |
Use the given graphs to answer these questions about each of the three days:
Consider the statement, “The dog was 2 feet away from the post after 80 seconds.” Do you agree with the statement?
What was the distance of the dog from the post 100 seconds after the owner left?
Problem 2. Let’s name the functions that relate the dog’s distance from the post and the time since its owner left: function f for Day 1, function g for Day 2, function h for Day 3. The input of each function is time in seconds, t. Complete the table.
Describe what represents in this context.
Describe what represents in this context.
Describe what represents in this context.
The equation can be interpreted to mean: “On Day 2, 120 seconds after the dog owner left, the dog was 4 feet from the post.” What does the equation mean in this situation?
What does the equation mean in this situation?
What does the equation mean in this situation?