# MTH/220 COLLEGE ALGEBRA Week 1 to week 5

**Adams Nigel**

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## MTH/220 COLLEGE ALGEBRA Week 1 - Week 5 All DQs

**MTH/220 COLLEGE ALGEBRA FRESH SUBSTANTIVE DQS 2014**

Week-1-DQs

- Explain how to determine the domain and range of a function.
- What must be done to the equation of a function so that its graph is shrunk vertically?
- Suppose you are provided with a function. How can you determine if there is an inverse function?
- How is finding the distance between two points in the rectangular coordinate system related to the Pythagorean Theorem?
- Week-1-Summary [4 SETS]

Week-2-DQs

- Is it possible to use the methods for solving a system of linear equations to solve a system of nonlinear equations? Explain your answer.
- Explain the method for finding the solution of a system of linear equations using row operations.
- Compare and contrast the Gaussian elimination method with the Gauss-Jordan method of solving a system of linear equations.
- Suppose that in the process of solving a system of three linear equations in three unknowns, the last row of the matrix contains all zeros. How does this affect the solution of the system of equations?
- Week-2-Summary [4 SETS]

Week-3-DQs

- Given a rational function, identify a method which can be used to determine if there is a vertical asymptote.
- Suppose your friend is taking an algebra course and does not understand the definition of a rational function. How could you explain it to them?
- Explain the relationship between an equation in exponential form and the equivalent equation in logarithmic form.
- Why is zero excluded from the domain of a logarithmic function?
- Week-3-Summary [3 SETS]

Week-4-DQs

- Suppose you buy a new car for $18,000. At the end of
*n*years, the value of your car is given by the sequence*vn*= 18000(3/4)^*n*,*n*= 1, 2, 3, ….. Find the fifth term and explain what this value represents. Describe the*n*th term of the sequence in terms of the value of your car at the end of each year. - Suppose you are provided with an arithmetic sequence. How can you find the sum of
*n*terms of the sequence without having to add all of the terms? - Suppose you are provided with a geometric sequence. How can you find the sum of
*n*terms of the sequence without having to add all of the terms? - Suppose a rumor is spread by first one person telling another individual and then the individual telling two other people. Each person in turn tells two other people. Can you consider this an arithmetic or geometric sequence? Explain your answer.
- Week-4-Summary [4 SETS]

Week-5-DQs

- Explain the difference between a combination and a permutation. When applying these counting methods in practical situations, how can you determine if the solution requires a combination or a permutation?
- How can you determine when two events are mutually exclusive? Provide an example along with the explanation.
- Provide an example of two events which are dependent; meaning that the occurrence of Event A is related to Event B.
- How can you apply probability concepts and apply methods for computing probability to everyday or professional situations with which you are familiar?
- Week-5-Summary [NO SUMMARY WAS ASSIGNED IN WEEK 5 DUE TO FINAL EXAM]

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