12 Part I: The Questions
Graphing Common Functions
63–77 Solve the given question related to graphing
common functions.
63. What is the slope of the line that goes
through the points (1, 2) and (5, 9)?
64. What is the equation of the line that has a
slope of 4 and goes through the point (0, 5)?
65. What is the equation of the line that goes
through the points (–2, 3) and (4, 8)?
66. Find the equation of the line that goes
through the point (1, 5) and is parallel to
the line y
x
=
+
3
4
8.
67. Find the equation of the line that goes
through the point (3, –4) and is perpendicular to the line that goes through the points
(3, –4) and (–6, 2).
68. What is the equation of the graph of y x
=
after you stretch it vertically by a factor of
2, shift the graph 3 units to the right, and
then shift it 4 units upward?
Polynomial and Rational
Inequalities
56–59 Solve the given polynomial or rational
inequality.
56. x
2
– 4x – 32 < 0
57. 2x
4
+ 2x
3
≥ 12x
2
58.
x
x
x
+
(
) −
(
)
+
(
)
<
1
2
3
0
59. 1
1
1
1
3
4
x
x
−
+ +
>
Absolute Value Inequalities
60–62 Solve the absolute value inequality.
60. 2 1 4
x − <
61. 5 7 2
x − >
62. − + ≤
3
1 5
x