Test 1 MAT 1101 Winter 2009 Name ____________________________
Simplify all answers and show your work!
1. What numbers can we not take the square root of in the real numbers? Negative numbers
2. What number can we not divide by? __0__. 3. “f(x)” is another name for ___Y___.
4. The domain of a relation tells what values __X__ can be.
5. The range of a relation tells what values __ Y__ can be. 6. Write “f(5) = –7” as an ordered pair. _(5, -7)_
7. 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_.
8. Given U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {2, 3, 8, 9} and B = {1, 2, 4, 6, 7}, find the following:
a) Draw the Venn diagram b)
B
A
∪
c)
B
A
∩
that represents the sets.
{1, 2, 3, 4, 6, 7, 8, 9} {2}
See Diagram
9. Given the relation {(-4, 2), (0, -5), (3, -2), (-2, -6)}, find the following:
a) Domain: _{-4, 0, 3, -2}__ b) Range: _{2, -5, -2, -6}___
c) Maximum of x-values: _3_ d) Minimum of x-values: __-4__
e) Maximum of y-values: __2__ f) Minimum of y-values: __-6__
g) Make a line graph of the relation on the grid to the right.
See Diagram
10. Is the relation {(5, -1), (1, -6), (5, 3), (3, -8)} a function? Why or why not? _No, the x-value “5” has______
_two different y-values. ______________________________________________________________________
11. Graph the line given by y =
5
2x – 2 12. Find the slope of the following lines:
a) 6x + 4y = 13
2
3
−
b) 8.29.5)(
+
=
xxf 5.9
c) xy 3.57.1
+
−
=
5.3
d) Passing through (1, -2) and (-2, 7).
-3
x y
-5
-4
0 -2
5 0
