1. Jaxton Supplies has weekly fixed costs of $800, variable costs of $25/item, and his daughter get a
$10/week allowance. Write a cost function representing Jaxton Supplies weekly cost function.
2. Peach Tree Farms is willing to supply x bushels of peaches when the price is p  15 x  50 per
bushel. Tom’s Local Grocery is willing to buy x bushels of peaches when the price is p  5 x  80 per
bushel over the interval (0,15] . What is the equilibrium quantity? What is the equilibrium price?
 x 2  16
 x  4 , x  4

3. Find the domain of f ( x)   x  3, 4  x  5
log 2 x  10 , x  5

 b

4. Identify what type of function is listed below: (If not a function, state: NOT A FUNCTION)
a. y  e3
e. y  3 x 2  5 x  2
x2  2 x  1
b. y 
x4
f.
y  3x  12
c. y  log( x  1)  log( x  1)
g.
y  3 x  27
d. x  4
h. y    e 2
5. Write the equation of the function formed when y  x 2 is shifted right 2 units, reflected about the xaxis, and moved up 4 units.
6. Find the vertex of y  10 x 2  5 x  8 .
7. Katy’s Kennels has daily fixed costs of $250, variable costs of $10 per kennel rented, and rents each
kennel for $35/day. How many kennels does she need to rent each day to break even?
8. Solve:
b. log  x  2   log  x   2
a. 8x  4 x1  16
9. Find each of the following limits (if they exist).
a. lim
x 3
x
x 3
b. lim
x 4
x4
x 2
c. lim ( x 2  4 x  7)
x  1
4 x  11, x  3
d. lim 
x 3
2 x  1, x  3
10. Evaluate f ( x) 
x
f(x)
e. lim 24
2
-1
f.
x5
4 x  11, x  3
lim  2
x 3
2 x  1, x  3
2x 1
at each of the following points: (Round answers to two decimal places.)
x
-0.9
-0.5
-0.1
Use the chart above to estimate the lim
x 0
0
0.1
0.5
0.9
1
2x  1
.
x
x2
x4, x  0

 x 1
, 0 x2
11. State the intervals over which f ( x) is continuous. f ( x)  
x2
 x 1
 x 1 , x  2

 x 2  2 x  1, x  0

12. Find the values of A such that f ( x)   Ax 2  4 x  2, 0  x  2 is continuous over the set of
4 x  7, x  2

.
13. Find the difference quotient for f ( x) 
14. Find the holes in the graph of f ( x) 
1
.
x2
2 x2  9 x  5
.
6x2  x 1
15. Find the accumulated amount in an account in which $2000 was deposited for 15 years at 5.25%
annual interest, compounded weekly.
16. Find the accumulated amount in an account in which $2000 was deposited for 15 years at 5.2%
annual interest, compounded continuously.
17. Given: f ( x)  x 2  x ,
a. find the average rate of change on the interval  2, 4 .
b. find the instantaneous rate of change at x  2 .
c. Find the equation of the tangent to the curve f ( x) at x  2 .
18. Given the graph of f ( x) below, where does the derivative fail to exist?