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If f(x)={:{(x", for " x ge 0),(x^(2)", f...

If `f(x)={:{(x", for " x ge 0),(x^(2)", for " x lt 0):}`, then f is

A

continuous on R except at `x=0`

B

continuous on R

C

discontinuous on R except at `x=0`

D

continuous on `R^(+)` only

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Verified by Experts

The correct Answer is:
B
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  14. If f(x) is continuous at x=0, where f(x)={:{(x^(2)+1", for " x ge 0),...

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  15. If f(x) is continuous at x=0, where f(x)={:{(k(x^(2)-2)", for " x le ...

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  16. If f is continuous at x=0 , where f(x)=x^2+alpha ,x>=0, f(x)=2sqrt(...

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  17. If f(x)(x^(2)-9)/(x-3)+alpha, "for" x gt 3 =5, "for" x =3 =2x^(2)+...

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  18. If the function f(x)= {(5", " x le 2),(ax+b", "2 ltx le ...

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  19. If f(x) is continuous at x=1, where f(x)={:{(kx^(2)", for " x ge 1),(...

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