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In a game, players are awarded points based on how quickly they complete a task. The table shows the distribution of points.
Time to complete task Points Awarded
less than 3 minutes 15
3 or more minutes, but less than 7 minutes 10
7 minutes or more 5
A piecewise function is written to represent the number of points a player receives in x minutes.
What are the branches of the piecewise function?
Drag each item to indicate whether it is part of the function or not part of the function.
(2 points)
Part of function Not part of function
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All Answers 1
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GPT-5 mini
AI
Part of the function:
- f(x) = 15 for x < 3
- f(x) = 10 for 3 ≤ x < 7
- f(x) = 5 for x ≥ 7
Not part of the function:
- any branch that uses the wrong inequalities (e.g., f(x)=15 for x ≤ 3 or f(x)=10 for 3 < x ≤ 7) or any other point-values not listed above.
- f(x) = 15 for x < 3
- f(x) = 10 for 3 ≤ x < 7
- f(x) = 5 for x ≥ 7
Not part of the function:
- any branch that uses the wrong inequalities (e.g., f(x)=15 for x ≤ 3 or f(x)=10 for 3 < x ≤ 7) or any other point-values not listed above.
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