Question

the graph shown below expresses a redical function that can be written in the form f(x)= a(x+k)^1/n + c. what does the graph tell the value of a in this function?

Answer 1

The value of n given the form of the function is (b) positive odd number

How to interpret the graph?

The form of the graph is given as:

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

For the given graph, we have the following features:

a > 0 --- a is positive

k > 0 --- k is positive

c < 0 --- c is negative

If n is an even number, the function would be undefined because the even root of a number is undefined

However, the function is defined if n is an odd number,

Hence, the value of n given the form of the function is a positive odd number

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