NDA2020MathematicsFunctionsActual
Which one of the following is correct in respect of the graph of y= 1 x-1 ?
Options
- AThe domain is x R x 1 and the range is the set of reals.
- BThe domain is x R x 1 , the range is y R y 0 and the graph intersects y -axis at (0,-1) .
- CThe domain is the set of reals and the range is the singleton set 0 .
- DThe domain is x R x 1 and the range is the set of points on the y -axis.
Correct answer
B. The domain is x R x 1 , the range is y R y 0 and the graph intersects y -axis at (0,-1) .
Step-by-step solution
Given graph Y= 1 x-1 This is defined for all real x , except x=1 . Range of the graph is y R y 0 Table for the graph : Graph of function - Thus, graph intersect y -axis at (0,-1) .