The graph shown below expresses a radical function that can be written in the form
2 answers:
Answer:
Option A
n is a positive even integer
Step-by-step explanation:
The easisest way to solve this problem is to graph the equation
f(x)=a(x+k)^1/n+c
With arbritary values of a,k, n, c that fit each answer option
Please see attached picture
Suppose,
a = -1,
k = -5 , and
c = 2
Case A.
n is a positive even integer
Say n = 2
f(x)= -(x-5)^1/2 + 2
Correct answer
Case B.
n is a positive odd integer
Say n = 3
f(x)= -(x-5)^1/3 + 2
Not the correct answer
Case C.
n is a negative odd integer
Say n = -3
f(x)= -(x-5)^-1/3 + 2
Not the correct answer
Case D.
n is a negative even integer
Say n = -2
f(x)= -(x-5)^-1/2 + 2
Not the correct answer
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