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x²-3x - 10 f(x) = x+6 [-2,5] Yes, Rolle's Theorem can be applied. No, because f is not continuous on the closed interval [a, b]. O No, because f is not differentiable in the open interval (a, b). No, because f(a) f(b). If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that f'(c) = 0. (Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.) c=-4+2 6 X

x²-3x - 10 f(x) = x+6 [-2,5] Yes, Rolle's Theorem can be applied. No, because f is not continuous on the closed interval [a, b]. O No, because f is not differentiable in the open interval (a, b). No, because f(a) f(b). If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that f'(c) = 0. (Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.) c=-4+2 6 X

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 57E
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Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) f(x) = x²-3x - 10 x + 6 [-2,5] Yes, Rolle's 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). O No, because f(a) = f(b). If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that f'(c) = 0. (Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.) c = −4+2 6 x Need Help? Read It Watch It oo DII F11 F9 F12 F8 F5 F7 F6 tab esc Show My Work (Optional)? Submit Answer F2 1 Q 8 F1 2 W #3 20 F3 E $ 4 000 000 F4 R 07 20 % 5 T ^ 6 Y & 7 U * 00 8 - ( 9 ) 0 O 7 F10 P + =
Transcribed Image Text:Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) f(x) = x²-3x - 10 x + 6 [-2,5] Yes, Rolle's 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). O No, because f(a) = f(b). If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that f'(c) = 0. (Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.) c = −4+2 6 x Need Help? Read It Watch It oo DII F11 F9 F12 F8 F5 F7 F6 tab esc Show My Work (Optional)? Submit Answer F2 1 Q 8 F1 2 W #3 20 F3 E $ 4 000 000 F4 R 07 20 % 5 T ^ 6 Y & 7 U * 00 8 - ( 9 ) 0 O 7 F10 P + =
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