InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
Let `f: RvecR`be any function. Also `g: RvecR`is defined by `g(x)=|f(x)|`for all `xdot`Then isOnto if `f`is ontoOne-one if `f`is one-oneContinuous if `f`is continuousNone of theseA. onto if f is ontoB. one-one if f is one-oneC. continuous if f is continuousD. None of these |
|
Answer» Correct Answer - C (a) Since g(x) = `|f(x)|` `therefore" "g(x) ge 0` `therefore" Range of "g ne R". Hence, is not onto"`. (b) If we take `f(x)=x`, then f is one-one but `|f(x)|=|x|` is not one-one. (c) If f(x) is continuous then `|f(x)|` is also continuous. |
|