Saved Bookmarks
| 1. |
Draw the graph of y=cos^(-1){x}," where "{*}" represetns the fractional part function". |
|
Answer» Solution :We have `y=cos^(-1){x}` `{x}in[0,1)AAx in R` Hence the domain of the function is R. `0le{x}lt1` `:.""0ltcos^(-1){x}lepi//2` So the range of `y=f(x)is (0,pi//2]` Now y=f(x) is periodic and has PERIOD '1'. Also for `0lexlt1, {x}=x:.ycos^(-1){x}=cos^(-1)x` GRAPH of `y=|x|=x" and "cos^(-1){x}=cos^(-1)x` Graph of`y={x}=x" and "y=cos^(-1){x}=cos^(-1)"x for x"in[0,1)" is shwon in the following figure".` Since, the peirod of `y=f(x) is 'I'`, the graph of the function can be drawn by REPEATING the above for each interval `(n, n+1)n in Z`.
|
|