Md. Abde Mannaf said: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?
They are both equal. That is, if you allow for only real numbers.Md. Abde Mannaf said: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?
i think it is same. function is not same but graph is same. that is my question is are equal?Mentallic said:Well, what do you think? What does the absolute value do?
Md. Abde Mannaf said:i think it is same. function is not same but graph is same. that is my question is are equal?
The difference between abs(1/x^2) and 1/x^2 is that abs(1/x^2) represents the absolute value of 1/x^2, which means that it always returns a positive value. On the other hand, 1/x^2 represents the inverse of x^2, which means that the value can be either positive or negative depending on the value of x.
The graph of abs(1/x^2) is a V-shaped curve that intersects the x-axis at (0,0) and approaches the y-axis but never touches it. On the other hand, the graph of 1/x^2 is a hyperbola that approaches both the x-axis and y-axis but never touches either of them.
No, the absolute value function always returns a positive value, so the value of abs(1/x^2) can never be negative.
As x approaches 0, the value of abs(1/x^2) increases infinitely. This is because as x gets closer to 0, the value of 1/x^2 also gets closer to infinity, and the absolute value function always returns a positive value.
The absolute value function is important in mathematics because it allows us to always have a positive value, regardless of the input. This is useful when dealing with equations or graphs that involve negative numbers, as it helps simplify the problem and make it easier to understand and solve.