Given the function f(x), Priya finds f'(x) and then finds that f(4) = 8 and f'(4) = 10. Use this information to answer the following. Interpret f(4) = 8. A. When x = 8, the slope of the line tangent to f(x) is 4. B. When x = 4, the slope of the line tangent to f(x) is 8. C. The function f(x) goes through the point (4,8). D. The function f(x) goes through the point (8,4). Interpret f'(4) = 10 A. When x = 4, the slope of the line tangent to f(x) is 10. B. When x = 10, the slope of the line tangent to f'(x) is 4. C. When x = 10, the slope of the line tangent to f(x) is 4. D. When x = 4, the slope of the line tangent to f'(x) is 10. Find another interpretation of f'(4) = 10. A. When x = 10, the instantaneous rate of change in f'(x) is 4. B. When x = 10, the instantaneous rate of change in f(x) is 4. OC. When x = 4, the instantaneous rate of change in f'(x) is 10. OD. When x = 4, the instantaneous rate of change in f(x) is 10. O ΟΟ

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...
Question
Given the function f(x), Priya finds f'(x) and then finds that f(4) = 8 and f'(4) = 10.
Use this information to answer the following.
Interpret f(4) = 8.
OA. When x = 8, the slope of the line tangent to f(x) is 4.
OB. When x = 4, the slope of the line tangent to f(x) is 8.
OC. The function f(x) goes through the point (4, 8).
OD. The function f(x) goes through the point (8, 4).
Interpret f'(4) = 10
O A. When x = 4, the slope of the line tangent to f(x) is 10.
OB. When x = 10, the slope of the line tangent to f'(x) is 4.
OC. When x = 10, the slope of the line tangent to f(x) is 4.
O D. When x = 4, the slope of the line tangent to f'(x) is 10.
Find another interpretation of f'(4) = 10.
O A. When x = 10, the instantaneous rate of change in f'(x) is 4.
B. When x = 10, the instantaneous rate of change in f(x) is 4.
C. When x = 4, the instantaneous rate of change in f'(x) is 10.
D. When x = 4, the instantaneous rate of change in f(x) is 10.
Transcribed Image Text:Given the function f(x), Priya finds f'(x) and then finds that f(4) = 8 and f'(4) = 10. Use this information to answer the following. Interpret f(4) = 8. OA. When x = 8, the slope of the line tangent to f(x) is 4. OB. When x = 4, the slope of the line tangent to f(x) is 8. OC. The function f(x) goes through the point (4, 8). OD. The function f(x) goes through the point (8, 4). Interpret f'(4) = 10 O A. When x = 4, the slope of the line tangent to f(x) is 10. OB. When x = 10, the slope of the line tangent to f'(x) is 4. OC. When x = 10, the slope of the line tangent to f(x) is 4. O D. When x = 4, the slope of the line tangent to f'(x) is 10. Find another interpretation of f'(4) = 10. O A. When x = 10, the instantaneous rate of change in f'(x) is 4. B. When x = 10, the instantaneous rate of change in f(x) is 4. C. When x = 4, the instantaneous rate of change in f'(x) is 10. D. When x = 4, the instantaneous rate of change in f(x) is 10.
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