Problem 5heet #4 (1.5-1.7)
Classlb:
Math 1090
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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.
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b) A relation with two x-intercepts is never a function.
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2. Givenh(x)
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Find h(-6).
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3. civerig(x)
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2 + 4. Find g(x-3). Write your answer as a polynomial in standard form.
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4. Find the domain of each function.
a) f(x)=x+3I—2
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EC: What is the range of f?
b)g(x)=
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c)
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h(x)=/1—4x
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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.
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supply equation:
demand equation:
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Equilibrium Point:
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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)?
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c) What is the marginal profit, MP?
d) How many donuts must be sold to break-even?
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7. Graph the solutions of the system of inequalities. Be sure to clearly label your
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