Complete the following. Show and attach all work in a
clear manner. Do NOT do any work on this sheet – all work must be separate.
Clearly indicate your final answer on the answer sheet provided. Have this
as signment completed and ready to turn in on the first day of school.
1. Are the fol lowing statements true? If not, explain in
words why not?
2. Simplify:
3. Solve 
4. Solve the quadratic equation :
5. Write as a single fraction with denominator in factored
form :
6. Graph the equation y = x^3 - x and answer the following
questions.
a) Is the point (3, 2) on the graph?
b) Is the point (2, 6) on the graph
c) Is the function even, odd, or neither?
d) What is the y intercept ?
e) Find the x intercepts.
7. Show work to de termine if the relation is even, odd, or
neither.
8. Find the equation of the straight line that passes
through the point (2, 4) and is parallel
to the line 2x + 3y – 8 = 0.
9. Find the equation of the line that is perpendicular to
the line 2x + 3y – 8 = 0 at the point (1,2)
10. The line with the slope 5 that passes through the
point (-1,3) intersects the x axis at a point. What are the coordinates of this
point ?
11. What are the coordinates of the point at which the
line passing through the points (1, -3) and (-2,4) intersects the y axis?
12. Given 
.
13. Given find 
14. Find the domain for each of the following functions.
15. Find for 
.
16. Find 
17. Given 
18. Sketch the graph of each function
19. Given 
and
complete the following
20. Given 
and
complete the following
21. Let 
. Complete the
following:
a) Sketch the graph of f(x)
b) Determine whether f has an inverse function.
c) Sketch the graph of 
d) Give the equation for 
22. Simplify using only positive exponents . Do not
rationalize the denominator .
23. If 
, describe in
words what the following would do to the graph of f(x).
24. Find the surface area of a box of height h whose base
dimensions are p and q, and that satisfies the following condition:
a) The box is closed.
b) The box has an open top.
c) The box has an open top and a square base with side length p.
25. A seven foot ladder, leaning against a wall, touches
the wall x feet above the ground. Write an expression (in terms of x) for the
distance from the foot of the ladder to the base of the wall.
26. A piece of wire 5 inches long is to be cut into two
pieces . One piece is x inches long and is to be bent into the shape of a square.
The other piece is to be bent into the shape of a circle. Find an expression for
the total area made up by the square and the circle as a function of x.
27. Evaluate: Answer must be in radians.
28-30. Find the solution of the equations for 0 < x < 2π
31. Which of the following ex pressions are identical ?
32. Which of the following expressions are identical?
33. Solve for x.
34-41: Evaluate the limit.
42-47 For each of the following determine:
