MTHO12 Test #1
Name:
Date:
Section:
The number in parenthesis indicates the point value of the problem. Show all work for
full credit. Label your graphs (axis, intercepts, coordinates! ...). Good luck!
l(10) An object in free fall travels a distance s that varies directly with the
square of the time t. If an object falls 1600 feet in 10 seconds, how far will
it fall in 3 seconds?
2(10) Sketch the graph of the function g(x) =
- (x + 5)' + 4
3(10) Given the functions f , g and h below...
graph of f(x)
evaluate the following.. .
a) f(2)
d) What is domain of f?
e) What is domain of h?
f) What is range of g?
4(10) a) Sketch the graph of the line x = -7 and the line y = 4 on the same set of
axes.
b) What are the coordinates of the point where they intersect?
c) Sketch the line seqment from (5,-3) to (-1,6) on the same axes again.
d) What are the coordinates of the midpoint of this line segment?
e) Sketch the line 3y - 2x = 12 (same set of axes)
f) Is the line segment in part c parallel, perpendicular or neither to the line
in part e ? Justify answer.
5(15) Factor each of the following polynomials as completely as you can, or
identify them as prime...
6(20) A boat is valued at $16,000 when it is 2 years old. The same boat is
valued at $3000 when it is 7 years old. Assume that boats depreciate
linearly, that is, at a constant rate.
a) Sketch a graph of the value of the boat, y, versus its age, x.
b) Express the value of the boat, y, as a function of its age, x.
c) How much was the boat worth when it was new?
7(15) Solve the following equations and inequalities for x. Sketch your solutions
on a number line and then specify solution using interval notation.
17 < 4(15 +3x) and 100x > 4x -98
8(5)
Perform the indicated operations and simplify your answer...
x2
3~
9(5)
+
X
-
12
x2+2x+1
+
9x2
-
3 6 ~
Simplify the following complex fraction...