Math Mat 190 Test 1 Template - 2008

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Test 1
MAT 190
Spring 2008
Name ____________________________
Simplify all answers and show your work!
1. The range of a relation tells what values ______ can be.
2. What number can we not divide by? _______
3. The domain of a relation tells what values ______ can be.
4. “f(x)” is another name for __________.
5. What numbers can we not take the square root of in the real numbers? ___________________
6. In a word problem, the “average rate of change” is the same as the __________ and the starting point is
the same as the ___________________________.
7. Write “f(3) = –7” as an ordered pair. ________
8. Given U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 3, 4, 6, 8} and B = {1, 4, 7, 9, 10}, find the following:
a) Draw the Venn diagram
b)
A ∪
B
c)
A ∩
B
that represents the sets.
9. Given the relation {(2, -1), (-1, 3), (0, -4), (-3, -3)}, find the following:
a) Domain: __________________ b) Range: ____________________
c) Maximum of x-values: ______
d) Minimum of x-values: ______
e) Maximum of y-values: ______
f) Minimum of y-values: ______
g) Make a line graph of the relation on the grid to the right.
10. Is the relation {(5.1, –3.8), (2.1, 5), (1, 5), (2.1, 2)} a function? Why or why not? ___________________
_________________________________________________________________________________________
1
11. Graph the line given by y =
x – 2
12. Find the slope of the following lines:
2
a)
( f
) x
=
x 2
+
8
x
y
b)
y
=
3
2 .
. 8
x 6
c) 5x + 6y = 18
d) Passing through (–1, –3) and (3, 7)

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