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A rational function is the ratio of two polynomial functions. The function that is the denominator will have roots (or zeros) in the complex field and may have real roots. If it has real roots, then evaluating the rational function at such points will require division by zero. This is not defined.
Since polynomials are continuous functions, their value will be close to zero near their roots. So, near a zero, the rational function will entail division by a very small quantity and this will result in the asymptotic behaviour.
What else can I help you with?
Why 5 divided by 0 undefined?
Undefined: You cannot divide by zero
Is the square root of three fifths irrational rational or undefined?
Irrational
Why are rational functions called rational functions?
Because they are represented as fractions.
Is 23 divided by 0 a rational number?
Undefined: You cannot divide by zero
Is it true that a rational expression is undefined whenever it's denominator is zero?
Yes, it is true.
When the denominator is zero in a rational function what is that called?
Undefined.
When is a racional expression undefined?
a rational expression is undefined when the denominator is 0 because we cannot dvide by 0.
What rational functions will have a hole at x2?
A rational function is undefined - you might say that it "has a hole" - at any point where the denominator is zero. Assuming you mean "... hole at x = 2", any rational function which has the factor (x-2) in its denominator will have a hole at x = 2.
A rational expression is undefined whenever its numerator is zero?
false
Ratio of two integers?
Can be an integer, a rational number or undefined.
For what value of x is the rational expression below undefined?
6
A rational expression is undefined whenever its denominator is zero-?
True
Why 5 divided by 0 undefined?
Undefined: You cannot divide by zero
Is the square root of three fifths irrational rational or undefined?
Irrational
Why are rational functions called rational functions?
Because they are represented as fractions.
Is zero always or sometimes a rational number?
Zero by definition is always a rational number. It can sometimes be the cause of mathematical concepts being undefined. For example, a number can not be divided by zero. Dividing by zero is undefined.
Is 23 divided by 0 a rational number?
Undefined: You cannot divide by zero
