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.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question

8.)

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
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning