Let : R (0,1) be a continuous function. Then, which of the following function(s) has(have) the value zero at some point in the interval (0, 1)?a)b)x9 (x)c)d)Correct answer is option 'B,D'. Can you explain this answer?

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Let ƒ : R → (0,1) be a continuous function. Then, which of the following function(s) has(have) the value zero at some point in the interval (0, 1)?

a)
b)
x⁹ – ƒ(x)
c)
d)

Correct answer is option 'B,D'. Can you explain this answer?

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Let : R (0,1) be a continuous function. Then, which of the following ...

Ans. (B,D)

For option (A),

⇒ g(x) is strictly incrasing function.
Also, g(0) = 1

∴ option (A) is not possible.
For option (B), let

⇒ k(0). k(1) < 0
So, option(B) is correct.
For option (C), let

so, option(C) is not possible.
For option (D),

⇒ M(0). M(1) < 0
∴ option (D) is correct.

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Let : R (0,1) be a continuous function. Then, which of the following function(s) has(have) the value zero at some point in the interval (0, 1)?a)b)x9 (x)c)d)Correct answer is option 'B,D'. Can you explain this answer?

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