Provide an appropriate response.Identify which of the following properties apply to the graph of 
I. The y-intercept is 1. II. The x-intercepts are of the form 
, where n is an integer. III. The function obtains a relative minimum at 
where n is an integer. IV. The function is decreasing on the interval 
.
A. I and III
B. II and III
C. I and IV
D. I, III, and IV
Answer: A
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A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.a1 = 1, an+1 = 
A. 1, 
, 
, 
, 
B. 1, 
, 12, 
, 360
C. 1, 
, 
, 
, 
D. 1, 
, 
, 
, 
A manufacturer of doors, windows, and cabinets writes her yearly profit (in thousands of dollars) for each category in a vector as: 
Her fixed costs of production can be described by the vector: 
Use the matrix operations on a graphing calculator to find her income if increasing it by 20% would cause an increase in profit of 50%. (Round to the nearest thousand dollars.)
What will be an ideal response?
Solve the problem.On one New Year's day, the price of gasoline in California was $2.21 per gallon. On the same day, the price of gasoline in one region of Mexico was $0.85 per liter. Where was gasoline more expensive on that day? By how much? Give your answer in dollars per gallon.
A. In California gasoline is $1.99 per gallon more expensive than in Mexico. B. In Mexico gasoline is $0.27 per gallon more expensive than in California. C. In California gasoline is $7.53 per gallon more expensive than in Mexico. D. In Mexico gasoline is $1.01 per gallon more expensive than in California.
Solve the problem.Economists use what is called a Leffer curve to predict the government revenue for tax rates from 0% to 100%. Economists agree that the end points of the curve generate 0 revenue, but disagree on the tax rate that produces the maximum revenue. Suppose an economist produces this rational function 
where R is revenue in millions at a tax rate of x percent. Use a graphing calculator to graph the function. What tax rate produces the maximum revenue? What is the maximum revenue?
A. 34.0%; $271 million B. 36.6%; $268 million C. 41.2%; $264 million D. 35.8%; $276 million