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 a in this function?

Answer 1

For the function F(x)=$a(x+k)^{1/n}+C$ the value of a is less than zero and the correct option is option d.

Given the value of function  F(x)=$a(x+k)^{1/n}+C$.

We have to put the function equal to 0 for finding the nature of a and C is a fixed number in the function :

a$(x+k)^{1/n}$+C=0

a$(x+k)^{1/n}$=-C

a=-C/$(x+k)^{1/n}$

Since negative sign is coming before a and the value of rest of the expression cannot be negative so the value of a should b negative which means less than 0. The rest of the expression cannot be negative because it has a power of 1/n which only gives positive values like modulas.

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