V3 a. Determine whether the Mean Value Theorem applies to the function f(x) = sin 'x on the interval b. If so, find or approximate the point(s) that are guaranteed to exist by the Mean Value Theorem. a. Choose the correct answer below. V3 V3 O A. No; f(x) is differentiable on but not continuous on 2 B. Yes; f(x) is continuous on V3 -,0 and differentiable on V3 ,0 and not differentiable on 2 V3 O C. Yes; f(x) is not continuous on V3 ,0|, but not differentiable on 2 O D. No; f(x) is continuous on b. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The point(s) is/are x = (Type an exact answer, using n as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) O B. The Mean Value Theorem does not apply in this case.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.5: Inverse Functions
Problem 1SC: Determine whether fx=x is one-to-one.
Question

20.

[-을이
V3
a. Determine whether the Mean Value Theorem applies to the function f(x) = sin'x on the interval
- 1
X
b. If so, find or approximate the point(s) that are guaranteed to exist by the Mean Value Theorem.
a. Choose the correct answer below.
(-)
V3
-,0
V3
O A. No; f(x) is differentiable on
but not continuous on
V3
B. Yes; f(x) is continuous on
,0 and differentiable on
2
V3
-,0 and not differentiable on
2
V3
C. Yes; f(x) is not continuous on
V3
V3
D. No; f(x) is continuous on
but not differentiable on
2
2
b. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The point(s) is/are x=
(Type an exact answer, using a as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
B. The Mean Value Theorem does not apply in this case.
Transcribed Image Text:[-을이 V3 a. Determine whether the Mean Value Theorem applies to the function f(x) = sin'x on the interval - 1 X b. If so, find or approximate the point(s) that are guaranteed to exist by the Mean Value Theorem. a. Choose the correct answer below. (-) V3 -,0 V3 O A. No; f(x) is differentiable on but not continuous on V3 B. Yes; f(x) is continuous on ,0 and differentiable on 2 V3 -,0 and not differentiable on 2 V3 C. Yes; f(x) is not continuous on V3 V3 D. No; f(x) is continuous on but not differentiable on 2 2 b. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The point(s) is/are x= (Type an exact answer, using a as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The Mean Value Theorem does not apply in this case.
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