8. A math teacher adopts the following function to curve her students' midterm grades: f(x) = 10√x where x is the original midterm grade and f(x) is the improved midterm grade after the curve function is applied. a. Find the curved grade if a student scored 64 on the midterm. b. Find the curved grade if a student scored 81 on the midterm. c. Provide an example of a student's midterm grade in which the function will fail to improve the grade. The follo f(x) 10

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.4: Definition Of The Derivative
Problem 50E
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8.) please answer a

8. A math teacher adopts the following function to curve her students' midterm grades:
where x is the original midterm grade and f(x) is the improved midterm grade after the
curve function is applied.
a. Find the curved grade if a student scored 64 on the midterm.
b. Find the curved grade if a student scored 81 on the midterm.
c. Provide an example of a student's midterm grade in which the function will fail to improve
the grade.
d. The following graph displays the curve function f(x) = 10√√x in red as well as the non-
curve function g(x) = x in blue. Based on the graph, do you think this curve system is
fair to all students? Why or why not?
(100, 100)
100
60
Curved Grade
f
Original Grade
80
40
20
0
(0,0)
f(x) = 10√x
20
40
60
80
100
Transcribed Image Text:8. A math teacher adopts the following function to curve her students' midterm grades: where x is the original midterm grade and f(x) is the improved midterm grade after the curve function is applied. a. Find the curved grade if a student scored 64 on the midterm. b. Find the curved grade if a student scored 81 on the midterm. c. Provide an example of a student's midterm grade in which the function will fail to improve the grade. d. The following graph displays the curve function f(x) = 10√√x in red as well as the non- curve function g(x) = x in blue. Based on the graph, do you think this curve system is fair to all students? Why or why not? (100, 100) 100 60 Curved Grade f Original Grade 80 40 20 0 (0,0) f(x) = 10√x 20 40 60 80 100
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