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anonymous

  • 5 years ago

a zero denominator means that the line is vertical

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  1. dumbcow
    • 5 years ago
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    it means the function is undefined at that point

  2. dumbcow
    • 5 years ago
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    or yes the slope could be seen as a vertical line

  3. nowhereman
    • 5 years ago
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    The result of dividing through zero can not be defined consistently. A vertical line is not the graph of any function. So you can not talk about slope.

  4. anonymous
    • 5 years ago
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    A zero denominator means that the function is undefined. It has no slope.

  5. anonymous
    • 5 years ago
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    Which is different from having a slope of zero. Basically dividing by zero is a no-no.

  6. dumbcow
    • 5 years ago
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    Also a zero denominator shows where a vertical asymptote is defined which is usually referred to as an imaginary vertical line

  7. nowhereman
    • 5 years ago
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    This statement lacks mathematical rigour. First of all a vertical asymptote is not part of the function. Also not everywhere where there occurs a zero denominator there has to be a vertical asymptote (see x/x for example which can be extended continuously in zero) and not everywhere where there is a vertical asymptote, do you have a zero denominator. (take ln x for example with a vertical asymptote at x = 0)

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