Test 1 Mat 190 Worksheet With Answers - Fall 2007
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1
2Test 1
MAT 190
Fall 2007
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? Negative numbers____
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. Given the relation {(-2, 5), (0, 2), (1, 3), (4, -2)}, find the following:
a) Domain: __{-2, 0, 1, 4}___ b) Range: _{5, 2, 3, -2}___
c) Maximum of x-values: _4__
d) Minimum of x-values: __-2__
e) Maximum of y-values: __5__
f) Minimum of y-values: __-2__
g) Make a line graph of the relation on the grid to the right.
8. Given f(x) = –2x – 5:
a) Find f(2)
b) Find f(0)
c) Find f(–3)
-9
-5
1
9. Is the relation {(2.1, 4.3), (–2.3, 0), (2.1, 8.1)} a function? Why or why not? No because the x-value 2.1 maps
to two different y-values.
2
10. Graph the line given by y =
x – 1
11. Find the slope of the following lines:
3
3
a)
(
)
4
-4
f
x
=
−
x
x
y
4
-6 -5
-3 -3
0
-1
b)
1
2 .
3
7 .
1.2
y
=
x
+
3
1
6
3
5
c) 5x + 7y = 9
−
7
d) Passing through (1, –4) and (–2, 3)
7
−
3
12. Given U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {2, 3, 6, 8} and B = {1, 2, 5, 6, 9}, find the following:
a) Draw the Venn diagram
b)
A ∪
B
c)
A ∩
B
that represents the sets.
{1, 2, 3, 5, 6, 8, 9}
{2, 6}
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