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1. Graph the function g that is formed by applying the indicated sequences of transformations to the function f(x) = |x|. Then find an equation for the function g.
The graph of f is reflected about x axis and shifted to the left 3 units.
2. Find the intercepts, vertex, maximum or minimum value, and range of the quadratic function f(x) = -(x - 3)2 + 2.
3. Find the domain and intercepts of the function f(x) = 4 - 2x/x - 4.
4. Let f(x) = 2x2/x2 - x - 6. Find the vertical and horizontal asymptotes of the graph of f, if any exist. Express your answers as linear equations.
A biologist took a count of the number of migrating geese in a state park and recounted the park's population of geese for each of the next six weeks.
Explain in a well-constructed essay why you chose that situation, what kind of graph is best for it, and why. Discuss what kinds of data are better portrayed by another kind of graph.
Verify Stoke's theorem where S is the surface of the paraboloid 2z=x2 + y bounded by z=2 and C is its boundary.
There are some risks involved with international transactions due to fluctuations of the foreign currency exchange rates. One way to mitigate those risks is through hedging. Discuss the hedging options: forward contracts and option contracts. What..
Find the center (h,k) and radius r of the circle and then use these to Graph the circle
The fraction (5x-11)/(2x2 + x - 6) was obtained by adding the two fractions A/(x + 2) and B/(2x - 3). The values of A and B must be, respectively:
Suppose that X and Y are two mathematical objects of the same sort (two sets, two rings, etc.), and we consider the family of all homomorphisms among them. What structure does this system have?
Although it usually doesn't involve physically steal- ing money, financial statement fraud is commonly considered the most expensive type of fraud. Why is this true?
Solve without graphing. Find the slope and the y-intercept for the graph of each equation in the given system. Use this information (and not the equations graph) to determine if the system has no solution or an infinite number of solutions.
In the interest of saving up enough money for retirement, you have created a bank account to store a sum of money. Compound interest on this account is accumulated at 6% a month, but you withdraw 500 a month for living expenses.
Law of sines.
Describe two real-life examples where exponents are used either at home or on the job. For ideas, look in the textbook or online. Look around at home and at work to see what strikes you as being similar in your own life. What examples do you see?
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