How do you do this without solving algebraically?
Just by looking at the equation how do you tell which one it is?
for example is the following function even, odd or neither?
y=x^3/(x^5-x^2)
explanations appreciated
How do you do this without solving algebraically?
Just by looking at the equation how do you tell which one it is?
for example is the following function even, odd or neither?
y=x^3/(x^5-x^2)
explanations appreciated
Hello, smiley_x!
If the function is composed of polynomials only, there is an "eyeball" rule.How do you do this without solving algebraically?
Just by looking at the equation how do you tell which one it is?
For example, is the following function even, odd or neither?
. . $\displaystyle y\:=\:\frac{x^3}{x^5-x^2}$
. . If all the exponents of $\displaystyle x$ are even, it is an even function.
. . If all the exponent of $\displaystyle x$ are odd, it is an odd function.
Note that a constant is an even term,
. . because $\displaystyle 5 \:=\:5x^0$ has an even exponent.
The given function has both even and odd exponents.
. . It is a Neither.