Test 1 MAT 1101 Spring 2009 Name ____________________________
Simplify all answers and show your work!
1. What number can we not divide by? _______. 2. Write “f(–9) = 5” as an ordered pair. ________
3. The range of a relation tells what values ______ can be. 4. “f(x)” is another name for __________.
5. The domain of a relation tells what values ______ can be.
6. What numbers can we not take the square root of in the real numbers? ___________________
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}, A = {1, 5, 7, 8} and B = {2, 3, 4, 5, 7}, find the following:
a) Draw the Venn diagram b)
B
A
∪
c)
B
A
∩
that represents the sets.
9. Given the relation {(–5, 3), (3, 4), (–2, –3), (0, –5)}, 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 {(3, 7), (2.1, –5.2), (2.2, 6), (3.1, 0)} a function? Why or why not? _____________________
_________________________________________________________________________________________
11. Graph the line given by y =
4
3
−x + 3 12. Find the slope of the following lines:
a) 7x + 5y = 18
b) f (x) = 1.3x + 6.8
c) y = –7 + 3.1x
d) Passing through (3, –6) and (–1, 1).
x y
