Find the domain, range & function

51 Views Asked by At

Given relation Q on $R$ (real numbers)

$Q = \{(x,y): y = \frac{2}{{x}^2 + 5}\}$

Find the domain and range of Q and if Q is a function.

Domain is straight forward. The domain for this is ALL the real numbers as the denominator will never go undefined.

I do not know how to find the range and function though, can someone guide on this?

1

There are 1 best solutions below

5
On

Hint: $x^2+5\ge 5$ for all $x\in\mathbb{R}$ and what happens if $x$ is large?