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15. Solve the equation by using the quadratic formula. (Enteryour answers as a comma-separated list.)

x2 ? 4x ? 4 = 0

(a) Give exact real answers.
x =
(b) Give answers rounded to two decimal places.
x =

16. Use any method to find the exact real solution, if itexists. (Enter your answers as a comma-separated list. If there isno solution, enter NO SOLUTION.)

(w^2/6) - (w/3) - 4 =0

w=

17. Solve using quadratic methods. (Enter your answers as acomma-separated list.)

(x + 5)2 + 5(x + 5) + 4 = 0

x =

18. Consider the following equation.

y = (-1/22)x^2 +x

(a) Find the vertex of the graph of the equation.
(x , y) = ( )
(b) Determine if the vertex is a maximum or minimum point.

(c) Determine what value of x gives the optimal valueof the function.
x =

(d) Determine the optimal (maximum or minimum) value of thefunction.
y =

20. The daily profit from the sale of a product is given byP = 14x ? 0.1x2 ? 50 dollars,where x is the number of units of production.

(a) What level of production maximizes profit?
units

(b) What is the maximum possible profit?
$

21. If the supply function for a commodity is p =q2 + 14q + 49 and the demand functionis p = –11q2 + 92q + 469,find the equilibrium quantity and equilibrium price.
(q, p) = ( )

22. The supply and demand for a product are given by 2p? q = 80 and pq = 100 + 35q,respectively. Find the market equilibrium point.
(q, p) = ( )

23. The total costs and total revenues for a company arerepresented by the equations shown below, where xrepresents the number of production units. Find the break-evenpoints. (Enter your answers as a comma-separated list.)

C(x) = 2100 + 20x +x2
R(x) = 120x

x = units

24. If, in a monopoly market, the demand for a product isp = 130 ? 0.40x and the revenue function isR = px, where x is the number of unitssold, what price will maximize revenue? (Round your answer to thenearest cent.)
$

28.

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    Sixta Kovacek
    Sixta KovacekLv2
    14 Jan 2019

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    Q1. Determine, without graphing, whether the quadratic function f(x) = x2 + 2x - 6 has a maximum value or a minimum value and then find that value. a. minimum; -7 b. minimum; -1 c. maximum; -1 d. maximum; -7 Q2. Find (f - g)(4) when f(x) = 5x2 + 6 and g(x) = x + 2. a. 80 b. 88 c. 84 d. -90 Q3. The graph of a function is given. Decide whether it is even, odd, or neither. a. even b. odd c. neither Q4. Find the average rate of change for the function f(x) = -3x2 - x from the values 5 to 6. a. 1/2 b. -2 c. -34 d. -1/6 Q5. Find the vertex and axis of symmetry of the graph of the function f(x) = 3x2 + 36x. a. (-6, -108); x = -6 b. (-6, 0); x = -6 c. (6, -108); x =6 d. (6, 0); x = 6 Q6. The graph of a function is given. Decide whether it is even, odd, or neither. a. even b. odd c. neither Q7. Use the graph to find the intervals on which it is increasing, decreasing, or constant. a. Increasing on (-3, -2) and (2, 4); decreasing on (-1, 1); constant on (-2, -1) and (1, 2) b. 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