Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) f(x)= 9x³, [1, 2] Yes, the Mean Value Theorem can be applied. No, because f is not continuous on the closed interval [a, b]. No, because f is not differentiable in the open interval (a, b). None of the above. If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that f'(c) = f(b) f(a), (Enter your answers as a comma-separated list. If the Mean Value Theorem b-a cannot be applied, enter NA.) C= na X

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select all that apply.)
f(x) = 9x³, [1, 2]
✔Yes, the Mean Value Theorem can be applied.
O No, because f is not continuous on the closed interval [a, b].
No, because f is not differentiable in the open interval (a, b).
None of the above.
If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that f'(c) = .
cannot be applied, enter NA.)
C = na
f(b) f(a). (Enter your answers as a comma-separated list. If the Mean Value Theorem
b-a
X
Transcribed Image Text:Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) f(x) = 9x³, [1, 2] ✔Yes, the Mean Value Theorem can be applied. O No, because f is not continuous on the closed interval [a, b]. No, because f is not differentiable in the open interval (a, b). None of the above. If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that f'(c) = . cannot be applied, enter NA.) C = na f(b) f(a). (Enter your answers as a comma-separated list. If the Mean Value Theorem b-a X
Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.)
y =
intercept
x² + 49
relative minimum
relative maximum
points of inflection
(x, y) = 0,0
X
1
(x, y) = (-7,- 14
(x, y) =
7,144
(x, y) = -7√3,
(x, y) =
0,0
(x, y) = 7√3,
√3
28
√√3
28
(smallest x-value)
(largest x-value)
Find the equations of the asymptotes. (Enter your answers as a comma-separated list of equations.)
0,dne
Transcribed Image Text:Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.) y = intercept x² + 49 relative minimum relative maximum points of inflection (x, y) = 0,0 X 1 (x, y) = (-7,- 14 (x, y) = 7,144 (x, y) = -7√3, (x, y) = 0,0 (x, y) = 7√3, √3 28 √√3 28 (smallest x-value) (largest x-value) Find the equations of the asymptotes. (Enter your answers as a comma-separated list of equations.) 0,dne
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