Test 1 Mat 1101 Equation Worksheet - 2009

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Test 1
MAT 1101
Summer 2009
Name ____________________________
Simplify all answers and show your work!
1. The domain of a relation tells what values ______ can be.
2. “f(x)” is another name for __________.
3. The range of a relation tells what values ______ can be.
4.Write “f(7) = –3” as an ordered pair. ________
5. What numbers can we not take the square root of in the real numbers? ___________________
6. What number can we not divide by? _______.
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. Given the relation {(3, 1), (–4, –2), (1, –5), (–5, 2)}, 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.
9. Is the relation {(8.2, 6), (8, –3), (8.1, 6.2), (7.9, 0)} a function? Why or why not? _____________________
_________________________________________________________________________________________
2
10. Graph the line given by y =
x – 2
11. Find the slope of the following lines:
3
a) 6x + 11y = 21
x
y
b) y = 5.9x – 8.2
c) f(x) = 9 – 2.3x
d) Passing through (–2, 4) and (–4, 9).
12. Given f(x) = 5x – 12:
a) Find f (–3)
b) Find f (0)
c) Find f (11)

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