How do you use the vertical line test?

Answer 1

The vertical line test is used to find out if a relation is a function.

If a vertical line is drawn for each value in the domain of a relation and if that line only intersects the relation once then the relation is a function.

#y=3x+4# is a line and passes the vertical line test, it is a function.
#y=x^2# is a parabola and passes the vertical line test, it is a function.
#x^2+y^2=1# is a circle and fails the vertical line test, it is not a function.
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Answer 2

The vertical line test is used to determine if a graph represents a function. To use it, draw a vertical line on the graph. If the vertical line intersects the graph at more than one point, then the graph does not represent a function. If the vertical line intersects the graph at only one point for every x-value in the domain, then the graph represents a function.

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Answer from HIX Tutor

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.

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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