Determine if the equation specifies a function with independent variable x. If so, find the domain. If not, find a value of x
to which there corresponds more than one value of y.
-
B) Not a function; for example, when x = 10, y = ±1

Question

Determine if the equation specifies a function with independent variable x. If so, find the domain. If not, find a value of x
 to which there corresponds more than one value of y.
-
B) Not a function; for example, when x = 10, y = ±1

Quizplus · Accepted Answer

The equation specifies two values of y for x = 10, which violates the definition of a function. The domain cannot be determined for a non-function. Since there are two possible values of y for a certain value of x, this equation does not specify a function with independent variable x. The example given in the problem statement is x = 10, where y can be either 1 or -1. Therefore, the answer is B.

Determine If the Equation Specifies a Function with Independent Variable