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How do you graph #y = 3/x #?

Answer 1

To graph the equation y = 3/x, you can start by creating a table of values. Choose different values for x and calculate the corresponding values for y using the equation. For example, when x = -3, y = -1; when x = -2, y = -1.5; when x = -1, y = -3; when x = 1, y = 3; when x = 2, y = 1.5; when x = 3, y = 1. Plot these points on a coordinate plane and connect them with a smooth curve. The graph will have a vertical asymptote at x = 0 and will approach zero as x approaches positive or negative infinity.

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Answer 2

Isaiah Anthony

By using plotting points

If x is 1, #y =3#

If x is 3, #y=1# etc.

The function is not defined when x is 0.

Graph is shown below

graph{3/x [-10, 10, -5, 5]}

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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.