412 STEP 5. Build Your Test-Taking Confidence
y
x
0
1
2
123
f′
- The graph off′is shown above. Which of the
following statements is/are true?
I. The functionfis decreasing on the
interval(−∞,− 1 ).
II.The functionfhas an absolute maximum
atx=2.
III. The functionfhas a point of inflection at
x=−1.
(A) II only
(B) III only
(C) II and III only
(D) I, II, and III
82.
∑∞
k= 0
(− 1 )k
π(^2 k)
( 2 k)!
=
(A) − 1
(B) 0
(C) 1
(D) π
- The slope of the normal line toy=e−^2 xwhen
x= 1 .158 is approximately
(A) 5.068
(B) 0.864
(C) − 0. 197
(D) 0.099
- What is the approximate value ofy( 1 )using
Euler's method with a step size of 0.5 and
starting atx=0. If
dy
dx
=exandy( 0 )=1?
(A) .135
(B) .607
(C) 2.165
(D) 2.324
- If a function fis continuous for all values
ofxandkis a real number, and
∫ 0
−k
f(x)dx=−
∫k
0
f(x)dx, which of the
following could be the graph off?
y
x
(C)
0
y
x
(D)
0
y
x
(B)
0
y
x
(A)
0
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