Question

If y2 = x3 + 2, which statement is true? The equation is a function at all values of x. The equation is not a function. The equation is a function only when x < 0. The equation is a function only when x > 0.

Answer 1

Answer:

The equation is not a function.

Step-by-step explanation:

We are given that

$y^2=x^3+2$

$y=\pm\sqrt{x^3+2}$

Function: It is mapping between the values of two sets A and B.

Each element of A has unique value in set B.

By definition of  function

In given function

y has no unique value for each value of x.

Substitute x=0

$y=\pm \sqrt{0+2}=\pm \sqrt 2$

Hence, it is not a function.