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 improv the grade. d. The following graph displays the curve function f(x) = 10₁√√x in red as well as the nor 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 80 60 40 20 0 Curved Grade (0, 0) 20 40 Original Grade 60 80 100
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 improv the grade. d. The following graph displays the curve function f(x) = 10₁√√x in red as well as the nor 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 80 60 40 20 0 Curved Grade (0, 0) 20 40 Original Grade 60 80 100
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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please answer 8.) C
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
80
-60
40
20
0
Curved Grade
(0,0)
20
40
f(x) = 10√x
Original Grade
60
80
100
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