Mat 190 Test Worksheet With Answer Key, 2008

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Test 4
MAT 190
Spring 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, June 9, 2008. Late tests will not be accepted. Don’t forget to simplify
all of your answers and attach your work!
2
x 2
6
x
x 2
3
5
6
7
3
+
+
1. Divide:
2. Add:
3. Subtract:
÷
+
2
2
x
2
x
x
1
x
4
+
+
x
x 3
28
x
x 6
7
( 2
) 1
11
12
4
31
+
+
+
x
x
x
(
4
)(
) 1
(
) 2
(
1
)(
) 4
+
+
+
x
x
x
x
x
x
2
4. Find the vertices of the functions:
5. Graph the following function: f(x) = 2x
+ 8x + 1
2
a) f(x) = –2x
+ 4x + 12
x
y
(1, 14)
-4 1
-3 -5
-2 -7
-1 -5
2
b) f(x) = –2.4(x + 1.9)
+ 4.8
0
1
(-1.9, 4.8)
2
2
6. Solve for x, if possible: 5x
+ 8x = 15
7. Graph the following function: f(x) = (x – 2)
– 4
x
y
0
0
1.1079, -2.7079
1
-3
2
-4
3
-3
4
0
Given f(x) = 4x – 2 and g(x) = 3x – 15, find the following.
8. (f • g)(x)
9. (f – g)(x)
10. (f ◦ g)(x)
11. (g ◦ g)(x)
2
12x
– 66x + 30
x + 3
12x – 62
9x – 60
12. A bottle rocket is launched upwards from the ground at a velocity of 275 feet per second. Approximately
2
how long does it take for the bottle rocket to hit the ground? (Use h(t) = –16t
+ v
t + h
)
o
o
17.1875 seconds

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