Question 1 Let f be the function specified by the following table.

(a)	f(1)	=
(b)	f(1 - 2)	=
(c)	f(1)-f(2)	=

(d)	What kind of model best fits the data?	Select one linear quadratic exponential logistic

(e)

Why does no linear function exactly fit the data?

(f)	The linear function which passes through the points where x = 0 and 2 is: (Note Use proper input syntax: e.g., use "3*x" instead of "3x".) g(x) =

Question 2 Given

f(x)

=

x

-

1 x

,

find the following. (Note Use proper input syntax: e.g., use "3*x" instead of "3x".)

(a)	f(1)	=
(b)	f(-1)	=
(c)	f(x+h)	=
(d)	f(x)+h	=
(e)	f(x)+x	=

(a)	Through the origin with slope 3 y =
(b)	Through the point (1,-1) with slope 3 y =
(c)	Through the points (-3, -6) and (1, -1) y =
(d)	Through the point (1, -2) and parallel to the line x + 3y = 1 y =
(e)	Through the point (1, -1) and parallel to the line 2x - 3y = 11 y =

Question 5 Select a function to match each of the following graphs.

Select one f(x) = -|x| f(x) = |x| - 1 f(x) = 1/x f(x) = 1/x^2 f(x) = x + 1/x^2 f(x) = x^2 - 1 f(x) = |x| + 2x^2 f(x) = 1 - x^2 f(x) = x + 1/x	Select one f(x) = -|x| f(x) = |x| - 1 f(x) = 1/x f(x) = 1/x^2 f(x) = x + 1/x^2 f(x) = x^2 - 1 f(x) = |x| + 2x^2 f(x) = 1 - x^2 f(x) = x + 1/x
Select one f(x) = -|x| f(x) = |x| - 1 f(x) = 1/x f(x) = 1/x^2 f(x) = x + 1/x^2 f(x) = x^2 - 1 f(x) = |x| + 2x^2 f(x) = 1 - x^2 f(x) = x + 1/x	Select one f(x) = -|x| f(x) = |x| - 1 f(x) = 1/x f(x) = 1/x^2 f(x) = x + 1/x^2 f(x) = x^2 - 1 f(x) = |x| + 2x^2 f(x) = 1 - x^2 f(x) = x + 1/x

* Data are rounded, and are for the period 1990 through 1994. Source: Department of Commerce/The New York Times, September 5, 1995, p. D4.

C(t)  =		500t + 800	if 0 t 4
		1,300t - 2,400	if 4 < t 10

(a) Evaluate C(0), C(4) and C(5), and interpret the results.

(b) How fast was the number of coffee shops in the US growing in 1992 and in 1995?

(c) Use the model to estimate when there were 5,400 coffee shops in the US.

* Source for data: Specialty Coffee Association of America / The New York Times, August 13, 1995, p. F 10.

(a) Which of the following functions best models the data?

	0.005x + 20.75
	0.01x + 20
	0.01x + 20 - 25/x
	0.01x + 20 + 25/x
	0.0005x2 - 0.07x + 23.25

(b) Graph A(x) in the window 10 x 100, 20 y 23 and use your graph to estimate the lowest cost per shirt, and the number of shirts they should buy to obtain the lowest price per shirt.

† Circulation figures are rounded to the nearest 0.1 million, and reflect average daily circulation as of September 30, 1994. Source: Newspaper Association of America/The New York Times, Juy 30, 1995, p. E6

(a) Use these data to express a company's daily circulation, c, as a linear function of the number, n, of newspapers it publishes.

(b) What information does the slope give to newspaper publishers?

(c) Your company plans to add 11 newspapers to its current 10. According to your model, how would this effect daily circulation?

Enter your model here, using valid proper formula-entry syntax. Also, don't forget to use the correct letter for the independent variable.

C(t) =

^*Data are rounded. Source: Natural Resources Defence Council/US Department of Energy/New York Times, June 15, 2001, p. A8.

The fraternity can sell 8,000 more copies if they raise the price $1. The fraternity can sell 8000 copies if they charge $1 per copy. The fraternity will sell 480 fewer copies if they raise the price $1. The fraternity can sell 8000 more copies if they lower the price $1. None of the above.