Download Math 1111 Quiz 3 Practice Summer 2005: Solving Quadratic Functions and Cost Analysis and more Quizzes Algebra in PDF only on Docsity!
- Sketch the graph of the function. Identify the vertex.
f x = x + 3 + 2
2
- Use a graphing utility to determine the vertex and x -intercepts of the graph of the quadratic function. Then write the equation of the parabola in standard form.
f x = 3 x^2 โ 18 x โ 2
- Write the standard form of the equation of the parabola.
x
y
โ10 10
10
- Find the domain of the function.
f x
x x x x
=^
2 2
- Identify any horizontal and vertical asymptotes for the graph of the function.
f x
x x
2 2
- A new computer game costs $182,500 to research and develop. Once completed, individual games can be produced for just $1.60 each. If the first 300 disks are given away as samples, the function
C x x x
=^
determines the average production cost per disk where x is the total number of games produced. What is the average cost per disk if 1000 disks are produced? What is the average cost per disk if 49,000 disks are produced? What is the limiting cost per disk?
- You are beginning a small business, Barely Bears, that will manufacture plush toy bears. The cost of buying the initial sewing equipment is $550. Additionally, the materials for each plush bear cost $1.75. The average cost per bear is
C
x x
where x represents the number of bears the business has produced. Use a graphing utility to sketch a graph of the average cost equation and then find the cost to manufacture 40 toy bears. What happens to the average cost per bear if you produce 400 bears? What does the limiting cost per bear appear to be?
Sketch the graph of the rational function. Find any vertical and horizontal asymptotes.
- f x x
=^
- f x x
=^
- Evaluate the expression. Round the result to three decimal places.
3 โ4.^8
- Sketch the graph of the function.
f x
x
=^
1 2
3
Reference: [3.1.1.4]
[1]
x
y
โ10 10
10
Vertex: โ 3 , 2
Reference: [3.1.2.7]
[2]
Vertex: 3 , โ 29
x -intercepts: 611. , 0 , โ 011. , 0
f x = 3 x โ 3 โ 29
2
Reference: [3.1.2.8]
[3] y^ =^ x +^3 โ^2
2
Reference: [4.1.1.4]
[4] All real numbers^ x^ โ ^ โ^3 ,^ x โ ^9
Reference: [4.1.2.8]
[5]
Horizontal asymptote: y = โ Vertical asymptotes: x = โ3, x = 3
Reference: [4.1.3.11]
[6]
Cost per disk for 1000 disks: $263. Cost per disk for 49,000 disks: $5. Limiting cost per disk: $1.
Reference: [4.2.3.24]
[7]
Average Cost per Bear ($) 0^ x 25 50 75 100
5
10
15
20
Number Produced $15.50 per bear for 40 bears $3.13 per bear for 400 bears The limiting cost per bear is $1.75.
Reference: [4.2.1.15]
[8]
x
y
โ10 10
10
Asymptotes: y = 0 ; x = 2 ; x =โ 2
Reference: [5.2.4.31]
[14] 0.555 decibels
Reference: [5.2.2.23]
[15]
x
y
โ10 10
10
