MAT 222 Week 5 DQ 1

MAT 222 Week 5 DQ 1

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Week 5 DQ1

Relations and Functions

In this discussion, you will be assigned two equations with which you will then do a variety of math work having to do with mathematical functions. Read the following instructions in order and view theexampleto complete this discussion:

  • Find your two equations in the list below based on the last letter of your last name.
If the last letter of your last name is On pages 708 – 711, solve the following problems
A or B 22 and 30
C or D 24 and 32
E or F 26 and 34
G or H 28 and 36
I or J 12 and 46
K or L 14 and 48
M or N 16 and 50
O or P 18 and 52
Q or R 20 and 54
S or T 2 and 56
U or V 4 and 58
W or X 6 and 60
Y or Z 8 and 64
  • There are many ways to go about solving math problems. For this assignment you will be required to do some work that will not be included in the discussion. First, you need to graph your functions so you can clearly describe the graphs in your discussion. Your graph itself is not required in your post, although the discussion of the graph is required. Make sure you have at least five points for each equation to graph. Show all math work for finding the points.
  • Specifically mention any key points on the graphs, including intercepts, vertex, or start/end points.  (Points with decimal values need not be listed, as they might be found in a square root function. Stick to integer value points.)
  • Discuss the general shape and location of each of your graphs.
  • State the domain and range for each of your equations. Write them in interval notation.
  • State whether each of the equations is a function or not giving your reasons for the answer.
  • Select one of your graphs and assume it has been shifted three units upward and four units to the left. Discuss how this transformation affects the equation by rewriting the equation to incorporate those numbers.
  • Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing the thought behind your math work.):
  • Function
  • Relation
  • Domain
  • Range
  • Transportation

Your initial post should be at least 250 words in length. Support your claims with examples from required material(s) and/or other scholarly resources, and properly cite any references. Respond to at least two of your classmates’ posts by Day 7.

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MAT 222 Week 5 Assignment Composition and Inverse

MAT 222 Week 5 Assignment Composition and Inverse

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MAT 222  Week 5  Assignment  Composition and Inverse Intermediate Algebra

Composition and Inverse

Read the following instructions in order to complete this assignment:

  1. We define the following functions:
  • Compute (– h)(4).
  • Evaluate the following two compositions:  and  .
  • Transform the g(x)function so that the graph is moved 6 units to the right and 7 units down.
  • Find the inverse functions   and  .

Write a two to three page paper that is formatted in APA style and according to the Math Writing Guide. Format your math work as shown in the example and be concise in your reasoning. In the body of your essay, please make sure to include:

  • Your solutions to the above problems, making sure to include all mathematical work for both problems, as well as explaining each step.
  • A discussion of the applicability of functions to the real world, based upon your reading of Chapter 11 of Elementary and Intermediate Algebra.  Be sure to use specific examples, a brief discussion of why your examples are important, and to cite your sources.

The paper must be at least two pages in length and formatted according to APA style. Cite your resources in text and on the reference page. For information regarding APA samples and tutorials, visit the Ashford Writing Center, within the Learning Resources tab on the left navigation toolbar.

Carefully review the Grading Rubric for the criteria that will be used to evaluate your assignment.

MAT 222 Week 4 DQ 1

MAT 222 Week 4 DQ 1

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Week 4 DQ1

Solving Quadratic Equations

In this discussion, you will solve quadratic equations by two main methods: factoring and using the Quadratic Formula. Read the following instructions in order and view theexampleto complete this discussion:

  • Find the problems assigned to you in the table below.
If the third  letter of your last  name is On page 636, solve the following problem by factoring Solve the following problem by using the Quadratic Formula
A or L 46 48 on p. 646
B or K 88 46 on p. 646
C or J 84 44 on p. 646
D or I 10 20 on p. 646
E or H 8 18 on p. 646
F or G 6 16 on p. 646
M or Z 38 48 on p. 636
N or Y 40 50 on p. 636
O or X 42 52 on p. 636
P or W 44 54 on p. 636
Q or V 80 56 on p. 637
R or U 2 78 on p. 637
S or T 4 82 on p. 637
  • For the factoring problem, be sure you show all steps to the factoring and solving. Show a check of your solutions back into the original equation.
  • For the Quadratic Formula problem, be sure that you use readable notation while you are working the computational steps. Refer toInserting Math Symbolsfor guidance with formatting.
  • Present your final solutions as decimal approximations carried out to the third decimal place. Due to the nature of these solutions, no check is required.
  • Incorporate the following four math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing your math work.):
  • Quadratic formula
  • Factoring
  • Completing the square
  • Discriminant

Your initial post should be at least 250 words in length. Support your claims with examples from required material(s) and/or other scholarly resources, and properly cite any references. Respond to at least two of your classmates’ posts by Day 7.

MAT 222 Week 4 Assignment Real World Quadratic Functions

MAT 222 Week 4 Assignment Real World Quadratic Functions

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MAT 222  Week 4 Assignment Real World Quadratic Functions Intermediate Algebra

Real World Quadratic Functions

Read the following instructions in order to complete this assignment:

  1. Solve problem 56 on pages 666-667 of Elementary and Intermediate Algebra.
  2. Write a two to three page paper that is formatted in APA style and according to the Math Writing Guide. Format your math work as shown in the example and be concise in your reasoning. In the body of your essay, please make sure to include:
  • An explanation of the basic shape and location of the graph and what it tells us about the Profit function.
  • Your solutions (it is a double question) to the above problem, making sure to include all mathematical work for both problems.
  • Discuss how and why this is important for managers to know, and explain what could happen if the ideal conditions were not met.

The paper must be at least two pages in length and formatted according to APA style. Cite your resources in text and on the reference page. For information regarding APA samples and tutorials, visit the Ashford Writing Center, within the Learning Resources tab on the left navigation toolbar.

Carefully review the Grading Rubric for the criteria that will be used to evaluate your assignment.

MAT 222 Week 3 DQ 1

MAT 222 Week 3 DQ 1

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Week 3 DQ1

Simplifying Radicals

In this discussion, you will simplify and compare equivalent expressions written both in radical form and with rational (fractional) exponents. Read the following instructions in order and view theexampleto complete this discussion:

  • Find the rational exponent problems assigned to you in the table below.
If the last letter of your first name is On pages 576 – 577, do the following problems
A or L 42 and 101
B or K 96 and 60
C or J 46 and 104
D or I 94 and 62
E or H 52 and 102
F or G 90 and 64
M or Z 38 and 72
N or Y 78 and 70
O or X 44 and 74
P or W 80 and 68
Q or V 50 and 76
R or U 84 and 66
S or T 54 and 100
  • Simplify each expression using the rules of exponents and examine the steps you are taking.
  • Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing the thought behind your math work.):
  • Principal root
  • Product rule
  • Quotient rule
  • Reciprocal
  • nth root

Refer to Inserting Math Symbolsfor guidance with formatting. Be aware that with regards to the square root symbol, you will notice that it only shows the front part of a radical and not the top bar. Thus, it is impossible to tell how much of an expression is included in the radical itself unless you use parenthesis. For example, if we have √12 + 9 it is not enough for us to know if the 9 is under the radical with the 12 or not.  Thus we must specify whether we mean it to say √(12) + 9  or  √(12 + 9). As there is a big difference between the two, this distinction is important in your notation.

Another solution is to type the letters “sqrt” in place of the radical and use parenthesis to indicate how much is included in the radical as described in the second method above. The example above would appear as either “sqrt(12) + 9” or  “sqrt(12 + 9)” depending on what we needed it to say.

Your initial post should be at least 250 words in length. Support your claims with examples from required material(s) and/or other scholarly resources, and properly cite any references. Respond to at least two of your classmates’ posts by Day 7.

MAT 222 Week 3 Assignment Real World Radical Formulas

MAT 222 Week 3 Assignment Real World Radical Formulas

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MAT 222 Week 3 Assignment Real World Radical Formulas Intermediate Algebra

Real World Radical Formulas

Read the following instructions in order to complete this assignment:

  1. Solve parts a and b of problem 103 on page 605 and problem 104 on page 606 of Elementary and Intermediate Algebra.
  2. Write a two to three page paper that is formatted in APA style and according to the Math Writing Guide. Format your math work as shown in the example and be concise in your reasoning. In the body of your essay, please make sure to include:
  • An explanation of what the parts of the formula mean before using it to get your answers. Study the Instructor Guidance examples to learn how to solve the formula for another variable.
  • Your solution to the above problems, making sure to include all mathematical work.
  • A discussion of how and why these concepts are important in the “real world.”  Describe another situation that could be evaluated using these concepts.

The paper must be at least two pages in length and formatted according to APA style. Cite your resources in text and on the reference page. For information regarding APA samples and tutorials, visit the Ashford Writing Center, within the Learning Resources tab on the left navigation toolbar.

Carefully review the Grading Rubric for the criteria that will be used to evaluate your assignment.

MAT 222 Week 2 DQ 1

MAT 222 Week 2 DQ 1

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Week 2 DQ1

One-Variable Compound Inequalities

In this discussion, you will be demonstrating your understanding of compound inequalities and the effect that dividing by a negative has on an inequality. Read the following instructions in order and view theexampleto complete this discussion:

  • According to the first initial of your last name, find the pair of compound inequalities assigned to you in the table below.
If your first initial is Your “and” compound inequality is Your “or” compound inequality is
A or L -4 ≤ 3 + 7x < 24 5 – x ≥ 7 or 8x – 3 > 29
B or K -16 ≤ 2 + 9x ≤ 11 12 – x > 15 or 4x – 13 > 7
C or J -10 < -2 + 8x < 22 4x + 7 < 11 or 1 – x ≤ -2
D or I -17 < 3 + 10x ≤ 33 5x + 3 ≤ -2 or 13 – x ≤ 6
E or H -1 ≤ -3 + 2x < 17 7 – x ≥ 6 or 7x – 1 > 27
F or G -12 < 12 + 4x < 0 12 – x > 15 or 7x – 13 > 1
M or Z -1 ≤ 3 + 2x < 11 1 – x ≥ -3 or 5x – 1 > 19
N or Y -1 < 4 + 5x ≤ 19 2x + 3 ≤ -1 or 10 – x ≤ 5
O or X -4 ≤ 5 + 3x ≤ 11 2x + 2 < 2 or 3 – x ≤ 0
P or W -9 < -1 + 4x < 15 8 – x > 15 or 6x – 13 > 11
Q or V -10 < -3 + x ≤ 21 2 – x ≥ 1 or 6x – 1 > 17
R or U -11 ≤ -5 + 6x < 13 3x + 2 ≤ -1 or 11 – x ≤ 4
S or T 0 ≤ 4 + 2x ≤ 22 3x + 6 < -3 or 5 – x ≤ 1
  • Solve the compound inequalities as demonstrated in Elementary and Intermediate Algebraand the Instructor Guidance in the left navigation toolbar, being careful of how a negative x-term is handled in the solving process. Show all math work arriving at the solutions.
  • Show the solution sets written algebraically and as a union or intersection of intervals. Describe in words what the solution sets mean, and then display a simple line graph for each solution set as demonstrated in the Instructor Guidance in the left navigation toolbar.
  • Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing your math work.):
  • Compound inequalities
  • And
  • Or
  • Intersection
  • Union

Your initial post should be at least 250 words in length. Support your claims with examples from required material(s) and/or other scholarly resources, and properly cite any references. Respond to at least two of your classmates’ posts by Day 7.