The graph shown below expresses a radical function that can be written in the form f(x)=a(x+k)^1/n+c. What does the attached gra
ph tell you about the domain and the range of this function?. A. The domain is [c, ∞) & the range is [-k,∞). B. The domain is [-k,∞) & the range is (-∞,c]. C. The domain is (-∞,∞) & the range is (-∞,∞). D. The domain is (-∞,k] & the range is [c,∞).
A negative number raised to a certain power is equal to an undefined value. In this case, the goal of the have x equal to -k and numbers greater than it. Hence the domain includes k and numbers to infinity. The minimum value of the range is negative infinity up to a value where the first term is zero or range equal to c.Hence the answer is B. The domain is [-k,∞) & the range is (-∞,c].
The attached
graph tells me that the domain is [-k,∞) and the range of this function
is (-∞,c]. The correct
answer between all the choices given is the second choice or letter B. I am
hoping that this answer has satisfied your query about this specific question.
The vertex of the graph of the function g(x) = (x - 2)^2 + 3 is 2 units to the right and 3 units up of the vertex of the graph of the function f(x) = x^2.
