# Slope Worksheet With Answers - Mat 1101 - 2009

Test 1
MAT 1101
Winter 2009 Name ____________________________
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)
A ∪
B
c)
A ∩
B
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. ______________________________________________________________________
2
11. Graph the line given by y =
x – 2
12. Find the slope of the following lines:
5
3
a) 6x + 4y = 13
x
y
2
-5 -4
0
-2
5
0
b)
f
(
x
)
=
5
9 .
x
+
2
8 .
5.9
c)
y
=
1 +
7 .
5
3 .
x
5.3
d) Passing through (1, -2) and (-2, 7).
-3