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Which of the following best describes the graph below?

AIt is a many-to-one function.
BIt is a function, but it is not one-to-one.
CIt is a one-to-one function.
DIt is not a function.

Which of the following best describes the graph below? A. It is a many-to-one function. B. It is a function, but it is not one-to-one. C. It is a one-to-one fun class=

Verified Answer :

i believe its not a function

Answer:

D. It is not a function.

Step-by-step explanation:

Radius of given circle = 4 units

Center = (0,0)

Equation of circle : \((x-h)^2+(y-k)^2 =r^2\)

where (h,k) is the center

So, equation of given circle = \(x^2+y^2 =4^2\)

Substitute x = -1

\((-1)^2+y^2 =4^2\)

\(1+y^2 =16\)

\(y=\sqrt{15}\)

\(y=\pm 3.872\)

So, since at one value of x we are getting the two values of y .

A function is a relation that for each input, there is only one output.

So, It is not a function.

Hence Option D is true.