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1. let f(x) = x+3/4 find f¹(x), the inverse function.
a. f¹(x) = 4x+3
b. f¹(x) = 4x-3
c. f¹(x) = -4x+3
d. f¹(x)= -4x-3

2. what is the inverse of h?
h(x) = 6x+1
a. h-¹(x) = 6x-1
b. h-¹(x) = 6x+1
c. h-¹(x) = x/6 -1
d. h-¹(x) = 1/6 (x-1)

3. what is the inverse function of f(x) = 4x+3?
a. f(x)-¹ = x-3/4
b. f(x)-¹ = x -4/3
c. f(x)-¹ = 1/3x +3
d. f(x)-¹ = 1/4x -4

4. the equation of a line is y = 2x - 4 if the equation is changed to y = 2x - 2, how will the graph of the line change?
a. the line will shift up 2 units
b. the line will shift down 2 units
c. the line will shift right 2 units
d. the line will shift left 2 units

5. if the equation y = 1/5x+2 is changed to y = 1/5x-4, how will the graph of the line change?
a. it will shift down 4 units
b. it will shift down 6 units
c. it will shift right 4 units
d. it will shift right 6 units

An annual marathon covers a route that has a distance of approximately 26 miles. winning times for this marathon are all over 2 hours. the following data are the minutes over 2 hours for the winning male runners over two periods of 20 years each. earlier period 14 12 15 22 13 10 19 13 9 14 20 18 16 20 23 12 18 17 6 13 recent period 7 11 7 14 8 9 11 14 8 7 9 8 7 9 9 9 9 8 10 8 (a) make a stem-and-leaf display for the minutes over 2 hours of the winning times for the earlier period. use two lines per stem. (use the tens digit as the stem and the ones digit as the leaf. enter none in any unused answer blanks. for more details, view how to split a stem.) minutes beyond 2 hours earlier period 0 1 2 (b) make a stem-and-leaf display for the minutes over 2 hours of the winning times for the recent period. use two lines per stem. (use the tens digit as the stem and the ones digit as the leaf. enter none in any unused answer blanks.) minutes beyond 2 hours recent period (c) compare the two distributions. how many times under 15 minutes are in each distribution