When the denominator is equal to zero, the expression is undefined. Close to those places, the expression tends towards plus infinity, or minus infinity. In other words, setting the denominator to zero will tell you where there are vertical asymptotes.
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The value of the denominator cannot be zero.
Yes, it is true.
A rational number is any number that can be expressed as a fraction. It becomes meaningless or undefined when the lower number, the denominator, its 0 (zero)
The math definition of a rational number is any number a/b so that both a and b are integers, except b ( the denominator) cannot be zero. So if you can manipulate the expressions to become this form, a/b, then it is the equavilent of a rational expression. Rational algebraic expressions are similar, except they contain variables. The same condition for the denominator must be true. The entire expression in the denominator cannot equal zero, but the variable might equal zero. Ex. a 1 / (x-1) .... x-1 cannot equal zero, which means that x cannot equal 1. Ex. b (1/3)/(1/4) can be simplified into 4/3 which is a rational number.
A zero. Zero in the denominator make the expression undefined for algebraic purposes.