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.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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Chapter10: Radical Functions And Equations
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Please answer 8.) B

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
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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