Determine if the following statement is true false the relation y = plusminus Sq

Question

Determine if the following statement is true false the relation y = plusminus Squareroot x^2 + 9 defines y as a function of x False, because each member of the domain does not correspond to exactly one member of the range for the given equation. For example x = 1. Corresponds to two y-value Squareroot 10 and -Squareroot 10 False, because each member of the domain corresponds to exactly one member of the range for the given equation True, because each member of the domain corresponds to exactly one member of the range for the given equation True, because each member of the domain does not correspond to exactly one member of the range for the given equation. For example x = 1 corresponds to two y-values Squareroot 10 and - Squareroot 10.

Explanation / Answer

The answer is A.

If y is to be determined as function of x, we should be able to have only one value of y for every value of x. Let us see this by plotting values for x, and finding values for y as described below in the table

x y 0 +3,-3 1 +squareroot(10), -squareroot(10) -1 +squareroot(10), -squareroot(10)

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