It is true that a rational function is a function whose equation contains a rational expression. This is used in various math classes.
Yes.
rational expression
If the simplified form of an expression contains an irrational number and a numerical evaluation is required then it is necessary to use a rational approximation.
You can multiply both sides by the LCD because as a rule, you can do anything to one side of an equation as long as you do the same thing to the other side. But when you simplify a rational EXPRESSION, you don't have an EQUATION. So there is no other side. So you can't multiply both sides by anything. You can, however, multiply both the numerator and the denominator by the same term (except zero).
I can see no rational expression below.
a rational expression.
True
a ractional function
True
false
Yes.
Yes. Rational functions must contain rational expressions in order to be rational.
Yes. Rational functions must contain rational expressions in order to be rational.
Yes. Rational functions must contain rational expressions in order to be rational.
Yes, an equation that contains one or more rational expressions is called a rational equation. A rational expression is a fraction where the numerator and/or denominator are polynomials. For example, the equation (\frac{x + 1}{x - 2} = 3) is a rational equation because it includes the rational expression (\frac{x + 1}{x - 2}). Solving such equations often involves finding a common denominator and addressing any restrictions on the variable to avoid division by zero.
No, it is an expression, not an equation.
A rational function is defined as a function that can be expressed as the quotient of two polynomials. However, it can also be represented in forms that do not explicitly show a rational expression, such as a polynomial or a constant function, which can be thought of as a rational function with a denominator of 1. For example, the function ( f(x) = 3x^2 + 2 ) is a polynomial and can be considered a rational function because it can be rewritten as ( f(x) = \frac{3x^2 + 2}{1} ). Thus, while the standard form includes a rational expression, the definition encompasses more than just explicit fractions.