# What is difference between abs(1/x^2) and 1/x^2 ?

1. Jun 18, 2015

### Md. Abde Mannaf

what is difference between abs(1/x^2) and 1/x^2 .
i am using https://graphsketch.com/ graph result is same. what do you think?

2. Jun 18, 2015

### Mentallic

Well, what do you think? What does the absolute value do?

3. Jun 18, 2015

### symbolipoint

They are both equal. That is, if you allow for only real numbers.

Think what happens for x=i.
abs(1/(i^2)) versus 1/(i^2).

4. Jun 18, 2015

### Md. Abde Mannaf

i think it is same. function is not same but graph is same. that is my question is are equal?

5. Jun 18, 2015

### JonnyG

If the graphs are the same, then the functions must be the same. The graph of a function f is the set of all points (x, f(x)). The graph of a function g is the set of all points (x, g(x)). If (x, f(x)) = (x, g(x)) then it is easy to see that you must have f(x) = g(x)

6. Jun 18, 2015

### Mentallic

You can figure it out through some simple reasoning. What does the absolute value do? Give me some examples. And then, what values can't 1/x2 ever be? For example, $x^2\geq 0$ for all values of x, so x2 can't ever be negative.