Choose the One Alternative That Best Completes the Statement or Answers

question 170

Multiple Choice

Choose the one alternative that best completes the statement or answers the question. Graph $f$ as a solid line and $\mathrm { f } ^ { - 1 }$ as a dashed line in the same rectangular coordinate space. Use interval notation to give the domain and range of $f$ and $f ^ { - 1 }$ .
- $$f ( x ) = x ^ { 2 } - 1 , x \geq 0$$

• A) \(f\) domain \(= ( 0 , \infty )\); range \(= ( - 1 , \infty )\) \(f ^ { - 1 }\) domain \(= ( 0 , \infty )\); range \(= ( - 1 , \infty )\)
• B) \(f\) domain \(= ( - \infty , \infty )\); range \(= ( - 1 , \infty )\) \(f ^ { - 1 }\) domain \(= ( - \infty , \infty )\); range \(= ( - 1 , \infty )\)
• C) \(f\) domain \(= ( 0 , \infty )\); range \(= ( - 1 , \infty )\) \(f ^ { - 1 }\) domain \(= ( 0 , \infty )\); range \(= ( 1 , \infty )\)
• D) \(f\) domain \(= ( - \infty , \infty )\); range \(= ( - 1 , \infty )\) \(f ^ { - 1 }\) domain \(= ( - \infty , \infty )\); range \(= ( 1 , \infty )\)

---

Definitions:

Grief

A deep and poignant distress caused by or as if by bereavement, often associated with the emotional response to loss.

Idealize Loved Ones

The psychological phenomenon of perceiving a loved one in an overly positive manner, ignoring their flaws or shortcomings.

Widower Effect

The observed phenomenon where individuals, especially men, show increased mortality risk after the death of a spouse, suggesting the significant impact of spousal loss on surviving partners’ health.

Widowed

A term describing someone whose spouse has died and who has not remarried.