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Practice 03 Math 142 - Sections 2.2 & 2.3 (1626667)
Due:Wed Jan 26 2011 11:55 PM CST
1.
Question 1234
Question DetailsTAMUBusCalc 2.1.007. [1686268]
De te rm ine the dom ain of the following function.
−5
x2 − 7x + 6
f(x) =
,
6x + 1,
if −3 ≤ x < 4
if x > 4
[−3, 1) ∪ (1, 4) ∪ (4, 6) ∪ (6,
[−3, 4) ∪ (4,
)
[−3, 4) ∪ (4, 6) ∪ (6,
(− ,
)
)
[−3, 1) ∪ (1, 4) ∪ (4,
2.
)
)
Question DetailsTAMUBusCalc 2.1.008. [1686308]
Using the pie ce wise function de fine d be low, de te rm ine the indicate d function va lue s.
5 − 4x , if x < −1
g(x) =
3.
2x2 + x,
if −1 ≤ x < 3
|x − 2|,
if 3 ≤ x
(a)
g(6)
(b)
g(−5)
Question DetailsTAMUBusCalc 2.1.009. [1686278]
Nationwide C om m unications offe rs its custom e rs a m onthly plan for te x t m e ssa ging. C ustom e rs unde r this plan pa y a flat rate
of $15.00 e ach m onth for up to 250 te x t m e ssage s. For e ach additional te x t m e ssage ove r 250 (up to 500 m e ssage s), the
custom e r will pay $0.10. For e ach m e ssage ove r 500 m e ssa ge s, the custom e r will pa y $0.25.
Ide ntify the pie ce wise function that ca n be use d to calculate the m onthly billing am ount B for a m onthly le ve l of t te x t
m e ssage s.
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B(t) =
15
15 +
if
0.1t
0 ≤ t ≤ 250
if 250 < t ≤ 500
15 + 0.25t
if
t > 500
B(t) =
15
−10 +
if
0.1t
0 ≤ t ≤ 250
if 250 < t ≤ 500
−60 + 0.25t
if
t > 500
B(t) =
15t
if
0.1t
if 250 < t ≤ 500
0 ≤ t ≤ 250
0.25t
if
t > 500
B(t) =
15
−10 +
if
0.1t
−85 + 0.25t
4.
0 ≤ t ≤ 250
if 250 < t ≤ 500
if
t > 500
Question DetailsTAMUBusCalc 2.4.005. [1686277]
The re ve nue and cost functions for a pa rticula r product are give n be low. The cost a nd re ve nue are give n in m illions of dollars,
and x re pre se nts the num be r of units (in thousa nds).
R(x) = −75x2 + 4600x
C(x) = 250x + 5240
At what production le ve l(s), rounde d to the ne are st who le unit, will the com pany bre ak e ve n o n this product? (Ente r your
answe rs as a com m a-se para te d list.)
units
Assignment Details
Name (AID): Practice 03 Math 142 - Sections 2.2 & 2.3 (1626667)
Submissions Allowed: 20
Category: Practice
Code:
Locked: Yes
Author: W hitfield, Jennifer ( jwhitfld@math.tamu.edu )
Last Saved: Jan 14, 2011 01:43 PM CST
Permission: Copyright
Randomization: Assignment
Which graded: Last
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