Chapter 3 - Polynomial and Rational Functions - 3.5 Rational Functions: Graphs, Applications, and Models - 3.5 Exercises - Page 376: 50

(a) to C. (b) to A. (c) to B. (d) to D.

(a) this function is even and always positive, thus (a) to C. (b) this function is positive when $x\gt2$, negative when $x\lt2$, thus (b) to A. (c) this function is negative when $x\gt2$, positive when $x\lt2$, thus (c) to B. (d) this function is even and always negative, thus (d) to D.