Complete Week 4 an Week 7 College Algebra Tasks

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College Algebra – Week 4 Assignment

Assignment

Please complete the follow problems neatly. Clearly label each problem, show all

work, and use Microsoft Word’s equation editor to properly format all mathematics.

1. Given h(x) = |x – 2| find the following function values:

a. h(-4)

b. h(-x+2)

2. Find the domain of h(x)

3. Find the zeros of f(x) = x3 – x2

4. Use a graphing utility to graph f(x) = (x2 – 4)2. Give the open intervals on which

the function is increasing, decreasing, or constant.

5. Given h(x) = (x +3] – 5

a. Identify the parent function f

b. Describe the sequence of transformations from f to h

6. Given f(x) = x2 – 4 and g(x) = 13 – x

a. Find (4)(x)

b. Find fog

7. Find the inverse function of f(x) = vx +1

Each problem/part is worth 5 points for a total of 50 points. Points are awarded as

correct or not correct – there is no partial credit for these problems.

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College Algebra – Week 7 Assignment
Assignment
Please complete the follow problems neatly. Clearly label each problem, show all
work, and use Microsoft Word's equation editor to properly format all mathematics.
1. Solve the following equations
a. 3x+3
b. e8-2x = e-3
C. log (3x – 10) = logg 5
d. e3x = 25
e. 4 In 3x = 15
2. Describe the transformation of the graph of f(x) = 6* that yields the graph of
(x) =
= 6*+1
3. For the following function f(x) = log(x – 3)+1
a. Find the domain.
b. Find the x-intercept.
4. Use the properties of logarithms to expand: In x2y2 z
5. Use the properties of logarithms to condense: 3 ln x – 2 ln(x + 1)
Each problem/part is worth 5 points for a total of 50 points. Points are awarded as
correct or not correct - there is no partial credit for these problems.
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