Possible Functions

Algebra Level 2

Consider the following \(6\) relations on the set of real numbers:

A) \(y = 2x - 5\),

B) \(x^2 + y^2 =1\),

C) \(x = 20-\frac{2}{y}\),

D) \(y = \sqrt{10 - x^2}\),

E) \(y = 2x^2-3x+4\) and

F) \(y = |x|\)

How many of these relations define \(y\) as a function of \(x\) in the domain \(-10\leq x \leq 10\)?

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