# How do you use the vertical line test to show #sqrt(x^2-4)-y=0# is a function?

intersects with a vertical line only once

first, rearrange the function so that

the graph should look like this:

graph{sqrt(x^2-4) [-10, 10, -5, 5]}

then, pick any number outside the range

example:

this is a vertical line, all points on which have an

in the vertical line test, a graph is shown to be a function if it meets a given vertical line only once.

the image above shows that the graph

(the vertical line test can be done again with other

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To use the vertical line test to show that the equation sqrt(x^2 - 4) - y = 0 is a function, you draw vertical lines across the graph of the equation. If each vertical line intersects the graph at most once, then the equation represents a function. In this case, the given equation represents a function if every vertical line intersects the graph at most once.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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