How do you find the domain and range of $y = 3/x^2$ ?

Question

1279 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-04-26T09:12:49

Domain: $(-oo, 0) uu (0,+oo)$
Range: $(0, +oo)$

$y=3/x^2$

$y$ is defined $forall x in RR: x!=0$

Hence the domain of $y$ is $(-oo, 0) uu (0,+oo)$

Consider both:

$lim_"x->+-0" 3/x^2 = oo$

and
$lim_"x->+-oo" 3/x^2 = 0$

Hence the range of $y$ is $(0, +oo)$

These can be seen from the graph of $y$ below:

graph{3/x^2 [-6.967, 7.08, -0.73, 6.294]}

How do you find the domain and range of y = 3/x^2y = 3/x^2?