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Is zero undefined?
Zero is pretty well defined. Division by zero is undefined.
What is the difference between undefined slope and zero slope?
A line with an undefined slope is a vertical line. A line with a slope of zero is a horizontal line. If you use the formula for slope m = (y2-y1) divided by (x2-x1)... For an undefined slope you will get zero in the denominator, which you cannot have because you cannot divide by zero. For a slope equal to zero, you will get a zero in the numerator. Zero divided by any non-zero denominator, will give you a slope of zero.
When the denominator is zero in a rational function what is that called?
Undefined.
A rational expression is undefined whenever its numerator is zero?
false
Why is division by zero undefined?
Division by zero is undefined because when the limit of 1/x is taken from the positive side of the graph it approaches infinity but when it approaches from the negative side it is negative infinity; thus, becoming an infinite discontinuity this kind of discontinuity makes it undefined. Hope this helps You learn about limits in Calculus. -Joshua Garrison
