Question

Which of the following options is/are true for the function $f\left(x\right)=-\frac{1}{x}$

• A. Domain is $R-\left\{0\right\}$
• B. Range is $R-\left\{0\right\}$
• C. Range is $R$
• D. Graph is
  
  

Answer 1

Answer: (A), (B), (D)

The correct options are
A Domain is $R-\left\{0\right\}$
B Range is $R-\left\{0\right\}$
D Graph is



$f\left(x\right)=-\frac{1}{x}$
Clearly, domain is $R-\left\{0\right\}$ and range is $R-\left\{0\right\}.$

We know that, graph of $\frac{1}{x}$ is


$\therefore$ graph of $-\frac{1}{x}$ will be