Test 4 Mat 190 Worksheet With Answers - 2008

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Test 4
MAT 190
Summer 2008
Name ______________________
This test is take-home, so you may use your notes, book, Excel, MathGV, etc. This test is due back to me
at the beginning of class on Monday, September 8, 2008. Late tests will not be accepted. Don’t forget to
simplify all of your answers and attach your work!
3
7
8
5
1. Add:
2. Subtract:
+
x
4
x
x
3
x
8
+
10
x
28
x 3
79
x
x (
) 4
x (
3
)(
x
) 8
+
2
3. Find the vertices of the functions:
4. Graph the following function: f(x) = 2x
+ 12x + 13
2
a) f(x) = –5x
+ 20x – 28
x
y
(2, -8)
-5
3
-4 -3
-3 -5
-2 -3
2
b) f(x) = –4.5(x + 2.8)
– 8.7
-1
3
(-2.8, -8.7)
2
2
5. Solve for x, if possible: 3x
– 2x = 14
6. Graph the following function: f(x) = (x – 1)
+ 2
x
y
x ≈ 2.5191; -1.8525
-1
6
0
3
1
2
2
3
3
6
Given f(x) = 2x + 4 and g(x) = 5x – 7 , find the following.
f
 
 
7. (f – g)(x)
8.
(x)
9. (f ◦ g)(x)
10. (g ◦ g)(x)
g
x 2
4
+
-3x + 11
10x – 10
25x – 42
x 5
7
11. If there are x teams in a sports league and all of the teams play each other exactly once, the total number of
2
games played is given by P(x) = 0.5x
– 0.5x.
a) How many games must be scheduled to play
b) Last year, there were 36 total games played.
if there are 12 teams competing this year?
How many teams competed in the league last year?
66 games
8 teams

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