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Let f(x) = {{:(Ax - B,x le 1),(2x^(2) + ...

Let `f(x) = {{:(Ax - B,x le 1),(2x^(2) + 3Ax + B,x in (-1, 1]),(4,x gt 1):}`
Statement I f(x) is continuous at all x if `A = (3)/(4), B = - (1)/(4)`. Because
Statement II Polynomial function is always continuous.

A

Both Statement I and Statement II are correct and Statement II is the correct explanation of Statement I

B

Both Statement I and Statement are correct but Statement II is not the correct explanation of Statement I

C

Statement I is correct but Statement II is incorrect

D

Statement II is correct but Statement I is incorrect

Text Solution

Verified by Experts

The correct Answer is:
D
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