College Algebra: Graphs and Models (7th Edition, Marvin L. Bittinger & Judith A. Beecher) – Complete Solutions Manual for All Chapters

Chapter 1
Graphs, Functions, and Models
Check Your Understanding Section 1.1
1. The point (−5,0) is on an axis, so it is not in any quadrant.
The statement is false.
2. The ordered pair (1,−6) is located 1 unit right of the origin
and 6 units below it. The ordered pair (−6,1) is located 6
units left of the origin and 1 unit above it. Thus, (1,−6)
and (−6,1) do not name the same point. The statement
is false.
3. True; the first coordinate of a point is also called the
abscissa.
4. True; the point (−2,7) is 2 units left of the origin and
7 units above it.
5. True; the second coordinate of a point is also called the
ordinate.
6. False; the point (0,−3) is on the y-axis.
Exercise Set 1.1
1. Point A is located 5 units to the left of the y-axis and
4 units up from the x-axis, so its coordinates are (−5,4).
Point B is located 2 units to the right of the y-axis and
2 units down from the x-axis, so its coordinates are (2,−2).
Point C is located 0 units to the right or left of the y-axis
and 5 units down from the x-axis, so its coordinates are
(0,−5).
Point D is located 3 units to the right of the y-axis and
5 units up from the x-axis, so its coordinates are (3,5).
Point E is located 5 units to the left of the y-axis and
4 units down from the x-axis, so its coordinates are
(−5,−4).
Point F is located 3 units to the right of the y-axis and
0 units up or down from the x-axis, so its coordinates are
(3,0).
3. To graph (4,0) we move from the origin 4 units to the right
of the y-axis. Since the second coordinate is 0, we do not
move up or down from the x-axis.
To graph (−3,−5) we move from the origin 3 units to the
left of the y-axis. Then we move 5 units down from the
x-axis.