Test 1 Mat 190 Worksheet - Augusta Technical College - Winter 2008
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1
2Test 1
MAT 190
Winter 2008
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. What number can we not divide by? _______
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. Given U = {2, 3, 5, 6, 7, 8, 9, 10, 12, 13, 15}, A = {2, 5, 6, 10} and B = {3, 6, 7, 10, 13}, find the following:
a) Draw the Venn diagram
b)
c)
A ∪
B
A ∩
B
that represents the sets.
8. Given the relation {(3, -2), (1, 4), (0, -5), (-2, 1)}, 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. Given f(x) = 3x – 7:
a) Find f(7)
b) Find f(0)
c) Find f(–4)
10. Is the relation {(4.5, –4.7), (3.8, 0), (0, 0), (2.1, 5.8)} a function? Why or why not? ___________________
_________________________________________________________________________________________
3
11. Graph the line given by y =
−
x + 2
12. Find the slope of the following lines:
4
a)
( f
) x
=
x 6
−
7
x
y
b)
y
=
8
1 .
−
. 2
x 4
c) 3x – 8y = 5
d) Passing through (2, 4) and (–1, –2)
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