1. Determine the average rate of change of the functions between the given values of x.

a. h  x  3x 17 from x  1 to x  2

b. f  x 

c. g  x 

2x

3x 1

1

from

from

x 1 to x  t

x  0 to x  a

2. Write the equation of the function F  x  x transformed in the following ways:

a. shifted 2 units to the left, and shifted up 3 units

b. reflected about the x-axis, then shifted down 3 units

c. shifted 1 unit to the right, and vertically stretched by a factor of 3

d. shifted 1 unit to the left, then reflected about the y-axis

3. Given f  x 

a. f

b. g

c. f

d. g

and g  x 

1

4x 1

find:

4. Algebraically find the maxima and minima of the functions given.

a. f  x  3x  x  2  5

x

2

x

b. g  x     7

5 3