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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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Why must you always be mindful of the final value of the denominator in a rational expression?
The value of the denominator cannot be zero.
Is it true that a rational expression is undefined whenever it's denominator is zero?
Yes, it is true.
When is rational expression undefine or meaningless?
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)
Can any number serve as the denominator in a rational expression?
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.
What can't you have in the denominator?
A zero. Zero in the denominator make the expression undefined for algebraic purposes.
Why do we set the denominator to zero to graph a rational function?
We set the denominator to zero to find the singularities: points where the graph is undefined.
How do you determine the values for which a rational expression is undefined?
A rational expression is not defined whenever the denominator of the expression equals zero. These will be the roots or zeros of the denominator.
A rational expression is undefined whenever its denominator is zero-?
True
What can the denominator of a rational expression never equal?
It cannot be zero.
Why must you always be mindful of the final value of the denominator in a rational expression?
The value of the denominator cannot be zero.
A rational expression is undefined whenever its denominator is zero?
False
Is it true that a rational expression is undefined whenever it's denominator is zero?
Yes, it is true.
When is rational expression undefine or meaningless?
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)
Why can't the denominators of rational expressions be zero How can we find the domain of a rational function?
Rational expressions are fractions and are therefore undefined if the denominator is zero; the domain of a rational function is all real numbers except those that make the denominator of the related rational expression equal to 0. If a denominator contains variables, set it equal to zero and solve.
Can any number serve as the denominator in a rational expression?
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.
What is called when the denominator is zero in a rational function?
The function is not defined at any values at which the denominator is zero.
Is 15+0.07 rational or irrational?
The expression 15 + 0.07 is a rational number. Rational numbers are numbers that can be expressed as a fraction of two integers, where the denominator is not zero. In this case, you can express 15 + 0.07 as 15.07, which is a rational number.
