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
[table][tr][td]Day 1[/td][td]Day 2[/td][td]Day 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[/img][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table]
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?[br]
What was the distance of the dog from the post 100 seconds after the owner left?[br]
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 [math]f\left(15\right)[/math] represents in this context.
Describe what [math]g\left(48\right)[/math] represents in this context.
Describe what [math]h\left(t\right)[/math] represents in this context.
[size=150]The equation [math]g\left(120\right)=4[/math] can be interpreted to mean: “On Day 2, 120 seconds after the dog owner left, the dog was 4 feet from the post.”[/size][br][br]What does the [math]h\left(40\right)=4.6[/math] equation mean in this situation?
What does the [math]f\left(t\right)=5[/math] equation mean in this situation?
What does the [math]g\left(t\right)=d[/math]equation mean in this situation?
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Information: Lesson 3: Function Notation