Question

Maximum value of $\frac{1}{x}$ is infinity and minimum value is negative infinity. So the range of $\frac{1}{x}$ is (-infinity, infinity)

• A. True
• B. False

Answer 1

The correct option is B

False

The graph of $\frac{1}{x}$ is

The graph never touches y = 0, so 0 is not in range of the function y = $\frac{1}{x}$. Additionally infinity is always non inclusive. So a closed bracket will never be adjacent to infinity or minus infinity.

So the correct range would be (-infinity,0) $\cup$ (0,infinity).

$\Rightarrow$The given statement is false