Is the equation $y=x^2 +3$ a function?

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Answer 1 · 2016-11-20T14:24:53

For each $x$ -value, there is only one $y$ -value.
It is a function.

This is the equation of a parabola. It does represent a function.

For any $x$ value you choose, there will be only one $y$ value.

You will not end up with a choice of $y$ - values.

If you draw the graph and draw a vertical line anywhere, it will only intersect the parabola once. This is an indication that is is a function.

Is the equation y=x^2 +3y=x^2 +3 a function?