Question

Please help me find the domain and range and write them down as an inequality. I need help ASAP. It would be deeply appreciated if you could help and give answers. I’ve been stuck on this problem for HOURS. Thank you.

Answer 1

Answer:

Domain:      x ≤ 0 or (-∞, 0]

Range:    f(x) ≥ 2 or [2, ∞)  

Step-by-step explanation:

For the domain, since there is a closed dot on (0, 2), then it means that it is part of the solution, and the values of x must be less than or equal to 0 (hence, the leftward direction of the arrow).  

The range values on this graph is at least 2 plus the squared root of the given x value.

Also, the actual function for this specific graph is:

$f(x) = 2 + \sqrt{- x}$

Hope this helps :)