# How do you find the domain and range of #y = 1/x^2#?

The domain is

By signing up, you agree to our Terms of Service and Privacy Policy

To find the domain and range of ( y = \frac{1}{x^2} ):

**Domain:**
The domain consists of all real numbers except for ( x = 0 ) because division by zero is undefined.

So, the domain is ( (-\infty, 0) \cup (0, \infty) ).

**Range:**
As ( x ) approaches positive or negative infinity, ( \frac{1}{x^2} ) approaches zero but never actually reaches it. Therefore, the range of ( y = \frac{1}{x^2} ) is ( (0, \infty) ).

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- How do you find the domain and range of #y = 2x^3 + 8#?
- How do you write the verbal expression for #2x + 8#?
- How do you translate "the difference of a number and 7" into a mathematical expression?
- What is the domain and range of #y=x#?
- How do you find the domain and range and determine whether the relation is a function given :#x=2y^2-3#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7