Write a rational function having the specified characteristics. 1. Vertical Asymptote: None

Horizontal asymptote: y= 3/4

2. Vertical Asymptote: x=0 and x= 5/2

Horizontal asymptote: y= -3

step-by-step explanation:

to determine whether a given function is even, we simply substitute x with -x in the expression. if the result after simplification is identical to the original equation, then the function is said to be even other wise odd.

f(-x) = (-x)^2 - (-x) + 8

      = x^2 + x +8

the resulting function is not identical to the original one;

f(-x) ≠ f(x)

therefore, f(x) is not an even function