How do you graph $y = \frac{1}{x^{2}}$ $y =1/x^2$ ?

Question

How do you graph $y = \frac{1}{x^{2}}$ $y =1/x^2$ ?

1 Answer

Impact of this question

36158 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-07-16T02:30:57

The graph of this function looks like a bell centred around the y axis.

Explanation:

First you must ensure that the denominator is different from zero so you set:
$x \neq 0$ $x!=0$

The y axis becomes a vertical asymptote of your function; basically the graph of your function will be a curve that gets as near as possible to the y axis without ever crossing it.

When $x$ $x$ gets near zero (but not zero!) the function becomes very big positively (try with $x = 0.001$ $x=0.001$ you get $y = \frac{1}{{0.001}^{2}} = 1, 000, 000) w h i \leq w h e n$ $y=1/0.001^2=1,000,000) while when$ x $b e c o m e s v e r y l a r \geq (p o s i t i v e l y or \neg a t i v e l y) t h e f u n c t i o n t e n d s \to b e c o m e v e r y s m a l l (t r y w i t h$ $becomes very large (positively or negatively) the function tends to become very small (try with$ x=100 $y o u \geq t :$ $you get:$ y=1/100^2=0.0001#).
So your graph will look like:
graph{1/x^2 [-10, 10, -5, 5]}

This function is particularly interesting when describing the phenomenon of Resonance in physics!

Science

Math

Humanities

... and beyond

How do you graph $y = \frac{1}{x^{2}}$ $y =1/x^2$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you graph y=1x2y =1/x^2?

1 Answer

Explanation:

Related questions

Impact of this question

How do you graph $y = \frac{1}{x^{2}}$ $y =1/x^2$ ?