a rational expression.
True
An absolute-value function
2
How about 27 whose cube root is 3 which is a rational whole number.
It's rational. It can be written as the quotient of two numbers whose HCF is one.
It is true that a rational function is a function whose equation contains a rational expression. This is used in various math classes.
True
a ractional function
Yes as for example x = 5 which is a straight vertical line parallel to the y axis
An absolute-value function
A linear function is a function whose graph is a straight line.
2
None, if the coefficients of the quadratic are in their lowest form.
A linear equation
f(x) = 1 if x is rational f(x) = 0 if x is irrational But there is no specific question about this function. It is a well defined function whose domain is the real numbers and whose codomain consists of the two values, 0 and 1. It is a function with infinitely many discontinuities, and an integral which is 0.
How about 27 whose cube root is 3 which is a rational whole number.
Yes, it is possible for a quadratic equation to have distinct irrational coefficients while having rational roots. For example, consider the quadratic equation (x^2 - \sqrt{2}x - \sqrt{3} = 0). The coefficients (-\sqrt{2}) and (-\sqrt{3}) are distinct irrationals, yet the roots of this equation can be rational. Specifically, if we apply the quadratic formula, we can find rational roots depending on the specific values of the coefficients.