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

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Chapter1: Functions And Models
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I cannot get the final answer for some reason.
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
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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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