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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)
How polynomial expression is a rational expression?
A polynomial expression is considered a rational expression when it is expressed as a fraction where both the numerator and the denominator are polynomials. For example, the expression ( \frac{x^2 + 3x + 2}{x - 1} ) is a rational expression because its numerator ( x^2 + 3x + 2 ) and denominator ( x - 1 ) are both polynomials. Rational expressions can be simplified, added, or multiplied, just like rational numbers, provided that the denominator is not zero.
What statement best describes the excluded values of a rational expression?
The excluded values of a rational expression are the values of the variable that make the denominator equal to zero. These values are not in the domain of the expression, as division by zero is undefined. To identify excluded values, set the denominator equal to zero and solve for the variable. Any solution to this equation represents an excluded value.
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.
What can the denominator of a rational expression never equal?
It cannot be zero.
A rational expression is undefined whenever its denominator is zero-?
True
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.
What statement best describes the excluded values of a rational expression?
The excluded values of a rational expression are the values of the variable that make the denominator equal to zero. These values are not in the domain of the expression, as division by zero is undefined. To identify excluded values, set the denominator equal to zero and solve for the variable. Any solution to this equation represents an excluded value.
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.
