Question

Someone please helpp

Answer 1

C. The domain is [-k, ∞), and the range is [c, ∞).

Explanation:

f(x) = a(x + k)^(1/n) + c

1/n means the nth root. Based on the graph, n is even, so x + k must be non-negative.

x + k ≥ 0

x ≥ -k

When x = -k:

f(-k) = a(-k + k)^(1/n) + c

f(-k) = c

So the domain is [-k, ∞), and the range is [c, ∞).