Test 1 Mat 1101 Worksheet With Answer Key - Wake Technical Community College (wake Tech) - Fall 2009

Test 1
MAT 1101
Fall 2009
Name ____________________________
Simplify all answers and show your work!
1. The range of a relation tells what values __y__ can be.
2. “f(x)” is another name for ___ y _____.
3. The domain of a relation tells what values __x__ can be.
4.Write “f(4) = 8” as an ordered pair. __(4, 8)_
5. What number can we not divide by? __0___.
6. What numbers can we not take the square root of in the real numbers? _____negatives
_
7. Given U = {1, 2, 4, 6, 8, 9, 10, 11, 14}, A = {1, 4, 8, 9} and B = {8, 9, 10, 11}, find the following:
a) Draw the Venn diagram
b)
A ∪
B
c)
A ∩
B
that represents the sets.
{8, 9}
See diagram
{1, 4, 8, 9, 10, 11}
8. Given the relation {(–2, 2), (3, –1), (5, 6), (–4, –3)}, find the following:
a) Domain: ___{-2, 3, 5, -4}_ __ b) Range: ___{2, -1, 6, -3}____
c) Maximum of x-values: __5__
d) Minimum of x-values: __-4__
e) Maximum of y-values: __6__
f) Minimum of y-values: __-3__
g) Make a line graph of the relation on the grid to the right.
see graph
9. Is the relation {(1, 5), (–7, 5), (2, 8), (3.2, 1)} a function? Why or why not? Yes. Each x-value in the______
relation maps to a different y-value.____________________________________________________________
2
10. Graph the line given by y =
x – 3
11. Find the slope of the following lines:
5
5
a) 5x + 7y = 38
x
y
7
-5 -5
0
-3
5
-1
b) y = 7.2 – 9.8x
– 9.8
c) f(x) = 8x – 9.16
8
see graph
d) Passing through (–5, 7) and (–2, 2).
5
3
12. Given f(x) = 7 – 2x:
a) Find f (5)
b) Find f (0)
c) Find f (–4)
–3
7
15

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