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1. Determine the average rate of change of the functions between the given values of x.
a. h  x  3x ï€Â17 from x  ï€Â1 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
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