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? ___________________
2. What number can we not divide by? _______. 3. “f(x)” is another name for __________.
4. The domain of a relation tells what values ______ can be.
5. The range of a relation tells what values ______ can be. 6. Write “f(5) = –7” as an ordered pair. ________
7. In a word problem, the “average rate of change” is the same as the __________ and the starting point is
the same as the ___________________________.
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.
9. Given the relation {(-4, 2), (0, -5), (3, -2), (-2, -6)}, 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.
10. Is the relation {(5, -1), (1, -6), (5, 3), (3, -8)} a function? Why or why not? ________________________
_________________________________________________________________________________________
11. Graph the line given by y =
5
2x – 2 12. Find the slope of the following lines:
a) 6x + 4y = 13
b) 8.29.5)(
+
=
xxf
c) xy 3.57.1
+
−
=
d) Passing through (1, -2) and (-2, 7).
x y
