AsymptotesFind an equation with a vertical asymptote of 0 and a slant asymptote of -x

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giorgiana1976 | College Teacher | (Level 3) Valedictorian

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The equation of the slant asymptote is put in the standard form and it is written as:

y = mx + n, where m is the slope of the asymptote and n is the y intercept.

The equation of the slant asymptote is:

y = -x

m = -1 and n = 0

The equation y = -x is the equation of the bisectrix of the 2nd or the 4th quadrant.

So, the slant asymptote y = -x is the bisectrix of the 2nd or the 4th quadrant.

If the vertical asymptote of a function is x = 0 that means that the function is discontinuous in the point that has the x coordinate x = 0.

The domain of definition of the function that has the vertical asymptote x = 0 does not contain the value x = 0.

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