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Assignment: Advanced Algebra Module Problem Set
1. Graph f(x) = -2x - 3
2. Use the quotient property to rewrite log10( x/10,000).
3. Find the x-intercept and the y-intercept of -3x + 5y = 30. Show your work.
4. Match the function in the 1st column to the Domain in the 2nd column.
FUNCTION (A-D)
Domain (a-d)
A. { (-2, 7), (3, 0), (0, -4), (5, -5)}
a. Real Numbers such that -3 < x < 3
B. f(x) = 4-3x
b. Domain is all Real Numbers except x = 4.
C. 2/(x-4) = y
c. Range ( -2, 3, 0, 5)
D. f(x) = √(9- x^2 )
d. Domain is all Real Numbers
5. (g o f)(x) means g(f(x))
Find ( g o f)(3) if f(x) = -4x + 2 and g(x) = x^2+1. Show your steps/work.
6. Rationalize the denominator: √b/(10- √b)
Select five values for x to plug into the linear function, P(x)=10x-7 and prepare a table of values
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Define variables and profit function
Assume you have a lemonade stand, & when you charge $1 per cup of lemonade you sell 50 cups. But when you raise your price to $2 you only sell 25 cups. Make an equation for the number of cups you sell as a function of the price you charge. Denote "C"..
For each of the relationships given below, describe whether you think it is best explained by a linear function or a non-linear function.
Which of the following are functions? The two problems, i.e., 1 & 3, are multi part relations consider all parts when determining whether or not these relations are functions. Explain your reason for 1, 2, & 3.
Using venn diagram for solving word problems.
The joint probability density function.
Applications of combination
Solving problems using venn diagram.
Solving problems into equation.
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