Test 1 Mat 1101 Worksheet - 2011

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Test 1
MAT 1101
Spring 2011
Name ____________________________
Simplify all answers and show your work!
1. The range of a relation tells what values ______ can be.
2. “f(x)” is another name for __________.
3. The domain of a relation tells what values ______ can be.
4. What number can we not divide by? _______.
5. Write “f(4) = –1” as an ordered pair. ________
6. What numbers can we not take the square root of in the real numbers? ___________________
7. Given U = {4, 7, 8, 10, 12, 13, 15, 16, 17, 18}, A = {7, 8, 12, 16} and B = {7, 10, 12, 13, 15}, find the
following:
a) Draw the Venn diagram
b)
A ∪
B
c)
A ∩
B
that represents the sets.
8. Given the relation {(2, –4), (4, 2), (–1, 0), (–5, –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.
9. Is the relation {(3, –3), (3, 5.1), (5.1, –7), (0, 8)} a function? Why or why not? ______________________
_________________________________________________________________________________________
4
10. Graph the line given by y =
x + 2
11. Find the slope of the following lines:
3
a) 3x + 6y = 7
x
y
b) y = –2x + 5.5
c) 4y = 6x – 1
d) Passing through (–1, –3) and (2, 7)
12. Given f(x) = –2x – 3
a) Find f (4)
b) Find f (–3)
c) Find f (0)

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