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ne Map you walk through Gate 4, you realize that Gate 5 is nowhere to be found. In front of you lies an expansive sert as far as you can see. You look at your map and see that there is an alert for this area. The warning tes that this desert is almost entirely quicksand, with only one path safely through the desert. That path is ined by a piecewise function but requires that some parameters be determined before your computer can herate the plot. Thinking back on what you learned in calculus, you realize that your path will need to be tinuous. You just need to tell your computer what the parameters below should be in order to create this ntinuous path. What parameters do you give your computer? A Number f(x) = 3, 2x + A, Bx + 7, -2x + C, Dx + 7, 3, B Number x < -2 ?2 < x < ?1 -1 < x?0 0 < x < 1 1 2 C Number D Number plain, in your own words and with your own work, how you arrived at this result. Be sure to explain ng calculus concepts to best support the work of the game design team.
Transcribed Image Text:The Map
As you walk through Gate 4, you realize that Gate 5 is nowhere to be found. In front of you lies an expansive
desert as far as you can see. You look at your map and see that there is an alert for this area. The warning
states that this desert is almost entirely quicksand, with only one path safely through the desert. That path is
defined by a piecewise function but requires that some parameters be determined before your computer can
generate the plot. Thinking back on what you learned in calculus, you realize that your path will need to be
continuous. You just need to tell your computer what the parameters below should be in order to create this
continuous path. What parameters do you give your computer?
A
Number
f(x) =
3,
2x + A,
Bx + 7,
-2x + C?
Dx + 7,
3,
B
Number
x < -2
-2 < x < -1
?1 < x ? 0
0 < x < 1
1 < x < 2
x > 2
?
Number
D
Number
Explain, in your own words and with your own work, how you arrived at this result. Be sure to explain
using calculus concepts to best support the work of the game design team.
As you walk through Gate 4, you realize that Gate 5 is nowhere to be found. In front of you lies an expansive
desert as far as you can see. You look at your map and see that there is an alert for this area. The warning
states that this desert is almost entirely quicksand, with only one path safely through the desert. That path is
defined by a piecewise function but requires that some parameters be determined before your computer can
generate the plot. Thinking back on what you learned in calculus, you realize that your path will need to be
continuous. You just need to tell your computer what the parameters below should be in order to create this
continuous path. What parameters do you give your computer?
A
Number
f(x) =
3,
2x + A,
Bx + 7,
-2x + C?
Dx + 7,
3,
B
Number
x < -2
-2 < x < -1
?1 < x ? 0
0 < x < 1
1 < x < 2
x > 2
?
Number
D
Number
Explain, in your own words and with your own work, how you arrived at this result. Be sure to explain
using calculus concepts to best support the work of the game design team.
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