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Problem 5heet #4 (1.5-1.7)
Classlb:
Math 1090
-
Name: So\uoS
001 Spring 2013
Hmk. 4 Score
Instructor: l(atrina Johnson
Complete each problem. No credit will be given without supporting work.
1. True or False. Explain your answer.
a) A relation with two y-intercepts is a never a function.
‘o
ov-S
Trues ; 2
p)4
4
bo
‘-c,eç
b) A relation with two x-intercepts is never a function.
Fa\se.-,
s
\r
--or
=Ix+11—3.
.\3
Aoe.S
4o
vo*uQ.
c,_k-
2. Givenh(x)
2
c
2
‘
-
Find h(-6).
_c
—•!
21
3. civerig(x)
=
2 + 4. Find g(x-3). Write your answer as a polynomial in standard form.
—2x
(-S) -l(x-,)
4
2
-2
2’+ L)
4
i(
-
4. Find the domain of each function.
a) f(x)=x+3I—2
b
EC: What is the range of f?
b)g(x)=
(.,
3x —2
-
x +4x—5
2
kS 1c’
r) c’.-’)
‘-
c)
\
h(x)=/1—4x
(oo
—
5. A company will be marketing youth sports uniforms and found that if the cost of a uniform is
$40 then there should be approximately 3,000 uniforms purchases and that if the cost of a uniform
is $120 then there should be approximately 600 uniforms purchased. The company is willing to sell
these uniforms at a price of $50 if 900 of the uniforms could be sold, but would sell these for $90
if only 4,500 could be sold. Write the supply and demand equations. Then find the equilibrium point
for this market.
(ooo,to’)
‘m
ç
(,oo,2o)
Q.cv
Ui2oo
wLco
_j_
-
2’2O
.1. (-,ooo)
Oo\D’)
cOSo
kt3oo ‘OO
supply equation:
demand equation:
?
—
-%t2O0
Equilibrium Point:
(22o,
$ 3)
6. A donut shop has fixed costs of $165 per day and variable costs of $0.10 per donut.
The shop sells the donuts f or $0.63 each.
a) What is the cost function, C(x)?
b) What is the profit function, P(x)?
(%)
c) What is the marginal profit, MP?
d) How many donuts must be sold to break-even?
x
\\ 2
7. Graph the solutions of the system of inequalities. Be sure to clearly label your
Jx_y<3
( -)
2x-y3
(2cS)
S\-?
jç4
I’
-
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