Math Test 1101 Worksheet With Answer Key - 2009
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1
2Test 1
MAT 1101
Summer 2009
Name ____________________________
Simplify all answers and show your work!
1. The domain of a relation tells what values _x_ can be.
2. “f(x)” is another name for ___y____.
3. The range of a relation tells what values __ y __ can be.
4.Write “f(7) = –3” as an ordered pair. _(7, –3)_
5. What numbers can we not take the square root of in the real numbers? _the negative numbers__
6. What number can we not divide by? _0_.
7. Given U = {2, 4, 6, 8, 10, 12, 14, 16}, A = {2, 8, 10, 16} and B = {4, 6, 8, 14}, find the following:
a) Draw the Venn diagram
b)
A ∪
B
c)
A ∩
B
that represents the sets.
{8}
{2, 4, 6, 8, 10, 14, 16}
See diagram
8. Given the relation {(3, 1), (–4, –2), (1, –5), (–5, 2)}, find the following:
a) Domain: _{3, – 4, 1, – 5}___ b) Range: _{1, – 2, – 5, 2}___
c) Maximum of x-values: _3_
d) Minimum of x-values: _– 5_
e) Maximum of y-values: _2_
f) Minimum of y-values: _– 5_
g) Make a line graph of the relation on the grid to the right.
See diagram
9. Is the relation {(8.2, 6), (8, –3), (8.1, 6.2), (7.9, 0)} a function? Why or why not? __Yes. Every x-value in the
domain gets mapped to exactly one y-value. ______________________________________________________
2
10. Graph the line given by y =
−
x – 2
11. Find the slope of the following lines:
3
6
a) 6x + 11y = 21
−
x
y
11
-6
2
-3
0
0
-2
b) y = 5.9x – 8.2
5.9
3
-4
6
-6
c) f(x) = 9 – 2.3x
– 2.3
d) Passing through (–2, 4) and (–4, 9).
See diagram
5
−
2
12. Given f(x) = 5x – 12:
a) Find f (–3)
b) Find f (0)
c) Find f (11)
–27
–12
43
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