Solução_Calculo_Stewart_6e

F.
TX.10
SECTION 4.5 SUMMARY OF CURVE SKETCHING ¤ 175
17. y = f(x) = x2
x 2 +3 = (x2 +3)− 3
=1− 3
x 2 +3 x 2 +3
A. D = R B. y-intercept: f(0) = 0;
x-intercepts: f(x) =0 ⇔ x =0 C. f(−x) =f(x),sof is even; the graph is symmetric about the y-axis.
D. lim
x→±∞
x 2
x 2 +3 =1,soy =1is a HA. No VA. E. Using the Reciprocal Rule, f 0 (x) =−3 ·
f 0 (x) > 0 ⇔ x>0 and f 0 (x) < 0 ⇔ x 0 ⇒ x>− 1 and f 0 (x) < 0 ⇒ x