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What values can you get from rational numbers?
numbers
When evaluated using rational values for the variables will result in an a rational number?
Not necessarily. The value of 3 (rational) raised to the power 1/2 (rational) is not rational.
What is the sum of a rational number and irrational number?
The value of the sum depends on the values of the rational number and the irrational number.
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.
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 cause a rational function to be undefined at particular values of x?
A rational function can be undefined at particular values of ( x ) when the denominator equals zero, as division by zero is undefined in mathematics. This typically occurs at specific values of ( x ) that make the denominator a zero polynomial. Identifying these values is essential for understanding the function's domain and any potential discontinuities.
What are the four possible answer types you could get for a quadratic equation?
you could get irrational values for x, rational values for x, imaginary values for x, and perfect squares for x. although perfect squares are rational answers so i guess i can think of three possible answer types. :) oh you can get zero for the value of x. there you go.
Suppose that x is a number between 2 and 27 For how many different values would be rational number?
There are infinitely many rational numbers between 2 and 27.
What can you say about the values of the ratios in the ratio table?
They represent rational numbers.
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.
What are rational zeros and how do you find them?
The rational zeros (or rational roots) of a function y = f(x) are the rational values of x for which y is zero. In graphical terms, these are the values at which the graph of y against x crosses (or touches) the x-axis - PROVIDED that the x value for these points are rational. In the simplest cases, you can solve f(x) = 0 algebraically to find the rational zeros. In other cases, you might need to solve f(x) = 0 by graphical methods, by trial and improvement or by numerical methods such as Newton-Raphson. In all these cases, you need to confirm that the x value is rational.
What is the connection between absolute value and integers?
None. Integers can be negative, absolute values cannot. Absiolute values can be rational or irrational fractions, integers cannot.
