- #1
Government$
- 87
- 1
Homework Statement
Show that function is even or odd:
(x^2|x-1|)/(SQRT(x-1)^2)
Homework Equations
The Attempt at a Solution
(-x^2|-x-1|)/(SQRT(-x-1)^2)
After this i don't know how to procede.
Government$ said:Homework Statement
Show that function is even or odd:
(x^2|x-1|)/(SQRT(x-1)^2)
Homework Equations
The Attempt at a Solution
(-x^2|-x-1|)/(SQRT(-x-1)^2)
After this i don't know how to procede.
The formula for determining if a number is even or odd is to divide the number by 2. If there is no remainder, the number is even. If there is a remainder of 1, the number is odd.
To determine if a polynomial expression is even or odd, substitute -x for x in the expression. If the resulting expression is the same as the original expression, it is even. If the resulting expression is the negative of the original expression, it is odd.
An even function is symmetric about the y-axis, meaning that f(x) = f(-x). An odd function is symmetric about the origin, meaning that f(-x) = -f(x). In other words, even functions are symmetric about the y-axis and odd functions are symmetric about the origin.
To determine if a radical expression is even or odd, simplify the expression and then follow the steps for determining if a polynomial expression is even or odd. If the simplified expression is even, the original expression is even. If the simplified expression is odd, the original expression is odd.
To determine if a rational expression is even or odd, simplify the expression and then follow the steps for determining if a polynomial expression is even or odd. If the simplified expression is even, the original expression is even. If the simplified expression is odd, the original expression is odd.