The graph of the function f(x)=(4x^4-x^2+5)/(2x^4-1) has which of the following?
a. a set of real solutions
b. an oblique asymptote at y=2x
c. a removable discontinuity------Process of elimination
d a horizontal asymptote

Question

The graph of the function f(x)=(4x^4-x^2+5)/(2x^4-1) has which of the following?
a. a set of real solutions
b. an oblique asymptote at y=2x
c. a removable discontinuity------Process of elimination
d a horizontal asymptote

jim_thompson5910 · Answer

how did you eliminate choice D?

As x --> infinty, f(x) ---> 2 since this is the ratio of the leading coefficients of the numerator and denominator. So this means that the horizontal asymptote is y = 2

anonymous · Answer

i just could never get that....thanks for your help!

jim_thompson5910 · Answer

you're welcome