Math 1431 – Section 15236
EMCF 8
Due 10/17 at 11:59pm
Instructions
• Submit this assignment at http://www.casa.uh.edu under "EMCF" and choose EMCF 8
On all problems, choice F is “none of the above”.
1.
If
A.
2.
C.
D.
E.
5.
6.
B.
False
True
B.
False
The largest open interval over which f is concave up for f ( x ) = 5 x − 7 is
A.
B.
4.
True
A point that has an x-coordinate where f ’’(x) = 0 is a point of inflection.
A.
3.
f ' ( x ) < 0 for all x on the interval I, then f ( x ) is concave down on the interval I.
(–∞, 7)
(7, ∞)
( −∞, ∞ )
nowhere
(–7, 7)
The function f ( x ) = x
A.
0
B.
5/7
C.
–5/7
D.
None exist.
E.
1
5 7
has a point of inflection with an x-coordinate of
⎛ −π π ⎞
f ( x ) = tan x has a point of inflection on ⎜
,
⎝ 2 2 ⎟⎠
A.
True
B.
False
f ( x ) = x − 2x + x has a point of inflection.
5
A.
True
3
B.
False
7.
The function f ( x ) = x − 1 is concave down on
5
A.
B.
C.
D.
E.
(–∞, 2)
(2, ∞)
(–∞, 0)
(0, ∞)
( −∞, ∞ )
8.
The graph of y = f(x) is at the right. For which of the
five domain value shown is f ' ' ( x) > 0 and f ' ( x) < 0 ?
A. a B. b C. c D. d E. e
c
a
b
9.
The graph of the derivative of f is shown at the right.
Which of the graphs below could be the graph of f ?
-2
A.
B.
D.
E.
d
y = f ′( x)
2
C.
Let f (x) be a polynomial function such that f (7) = -4, f ’(7) = 0 and f ’’(7) = 3. The point
(7, -4) is a __ on the graph of f (x)
10.
a. relative maximum
d. intercept
b. relative minimum
e. none of these
c. inflection point
e