Question

15. The graph of the function f(x) = x^2. What is the function's domain?

Ø
[0,00)
(-00, 0]
(-00, 0) U (0,00)
(-00,00)

Answer 1

Answer:
`(-\infty, \infty)`

Reason:

The domain is the set of all real numbers. We can replace x with any real number to generate some real number output. There are no restrictions to worry about.

Therefore, x ranges between negative infinity and positive infinity

In terms of symbols we'd write that as
`-\infty < \text{x} < \infty` which condenses to the interval notation answer of
`(-\infty, \infty)`

Use parenthesis to exclude each endpoint. We cannot reach either infinity, so that's why we can't use a square bracket.