Which one of the following is correct in respect of the graph of y=\frac{1}{x-1} ? [NDA-I 2020]

Correct Answer is : The domain is {x∈R|x≠1}, the range is {y∈R|y≠0} and the graph intersects y -axis at (0,-1)

The domain is \{x \\in R | x \neq 1\} and the range is the set of reals.

The domain is \{x \\in R | x \neq 1\}, the range is \{y \\in R | y \neq0\} and the graph intersects y -axis at (0,-1)

The domain is the set of reals and the range is the singleton set \{0\}

The domain is \{x \\in R | x \neq 1\} and the range is the set of points on the y -axis.

UPSC NDA I and II 2020 Math Solved Paper

Question : 83 of 120

Marks: +1, -0

Which one of the following is correct in respect of the graph of y=

x−1?

[NDA-I 2020]

The domain is {x∈R|x≠1} and the range is the set of reals.
The domain is {x∈R|x≠1}, the range is {y∈R|y≠0} and the graph intersects y -axis at (0,-1)
The domain is the set of reals and the range is the singleton set {0}
The domain is {x∈R|x≠1} and the range is the set of points on the y -axis.

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