SOLUTION: Consider a rational function whose denominator is -x^2 + 4x + ½. What is the maximum number of vertical asymptotes it may have? a. 2 b. 4 c. ½ d. The denominator defines the fu

Algebra ->  Equations -> SOLUTION: Consider a rational function whose denominator is -x^2 + 4x + ½. What is the maximum number of vertical asymptotes it may have? a. 2 b. 4 c. ½ d. The denominator defines the fu      Log On


   



Question 153034: Consider a rational function whose denominator is -x^2 + 4x + ½. What is the maximum number of vertical asymptotes it may have?
a. 2
b. 4
c. ½
d. The denominator defines the function’s zeroes, not its vertical asymptotes.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Notice how the degree of -x^2 + 4x + ½ is 2. So there are at most 2 zeros. This means that there are at most 2 vertical asymptotes.