Which of the following algebraic expressions/equations can represent a function?

a x^{2} + b x + c

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y = x^{2} + 7

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y^{2} = x

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y = 2 x - 3

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Solution

The correct options are
A $a x^{2} + b x + c$
B $y = x^{2} + 7$
D $y = 2 x - 3$
$a x^{2} + b x + c$ can represent a function.
$y = x^{2} + 7$ can represent a function.
$y = 2 x - 3$ can represent a function.

Only $y^{2} = x$ cannot represent a function because for every positive of x, y will take 2 values.
For example: when x = 4 $⟹$ y = −2 or y = +2

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