Question

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 graph tell you about the
value of n in this function?

Answer 1

The value of n in the given function is negative even integer.

The given parameters:

$f(x) = a(x + k)^{\frac{1}{n } } + c$

When n is positive, the function is written as;

$f(x) = a(x + k)^{\frac{1}{n } } + c$

When n is negative, the function is written as;

$f(x) = a(x + k)^{\frac{1}{-n} } + c\\\\f(x) = \frac{a}{(x + k)^n} + c$

When n is odd integer, the function will have three possible curves.

When n is even integer, the function will have two curves: one real solution and one imaginary solution.

When n is positive even integer, the real solution will curve upwards.

When n is negative even integer, the real solution will curve downwards.

The plot in the given graph curves downwards which indicates negative even integer value of n.

Learn more about graph of radical function here: https://brainly.com/question/24376924

Answer 2

Answer: N is a positive even integer

Explanation: The answer above is wrong I did the quiz once alr.