Mat 190 Test 1 Worksheet With Answers - 2008
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1
2Test 1
MAT 190
Spring 2008
Name ____________________________
Simplify all answers and show your work!
1. The range of a relation tells what values __Y__ can be.
2. What number can we not divide by? __0___
3. The domain of a relation tells what values __X__ can be.
4. “f(x)” is another name for ___Y____.
5. What numbers can we not take the square root of in the real numbers? ___negatives___
6. In a word problem, the “average rate of change” is the same as the _slope_ and the starting point is
the same as the ___y-intercept___.
7. Write “f(3) = –7” as an ordered pair. _(3, -7)_
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.
{1, 3, 4, 6, 7, 8, 9, 10}
{1, 4}
9. Given the relation {(2, -1), (-1, 3), (0, -4), (-3, -3)}, find the following:
a) Domain: _{2, -1, 0, -3} _
b) Range: __{-1, 3, -4, -3} __
c) Maximum of x-values: __2 _
d) Minimum of x-values: __-3__
e) Maximum of y-values: __3___
f) Minimum of y-values: __-4__
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? __No. The x-value 2.1 is
mapped to two different y-values (5 and 2).
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
m = 2
x
y
-4 -4
-2 -3
b)
m = -8.6
y
=
3
2 .
−
. 8
x 6
0
-2
2
-1
4
0
5
c) 5x + 6y = 18
m =
−
6
d) Passing through (–1, –3) and (3, 7)
5
m =
2
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