Respuesta :

Answer:

f(-∞)  -∞

f(∞) = -∞

Step-by-step explanation:

f(x) = -8x^4 +3x^2 -7x

         -----------------------

           4x^2 -4

The -8x^4 / 4x^2  will dominate at infinity

f(x) can be approximated at ±∞ by -2 x^2

f(-∞) = -2(-∞)^2 = -2 *∞ = -∞

f(∞) = -2(∞)^2 = -2 *∞ = -∞