**Unformatted text preview: **.2 Relations 21 (e) (g) y y 4 4 3 3 2 2 1 1 −3 −2 −1 (f) 1 2 3 x −1 1 2 (h) y x 3 y 3 7 2 6 1 5 −1 1 2 4 x 3 3 −2 2 −3 1
−3 −2 −1 x 1 3. (a) A = {(−4, −1), (−3, 0), (−2, 1), (−1, 2), (0, 3), (1, 4)}
(b) B = {(x, y ) : x > −2}
(c) C = {(x, y ) : y ≥ 0}
(d) D = {(x, y ) : −3 < x ≤ 2}
(e) E = {(x, y ) : x ≥ 0,y ≥ 0}
(f) F = {(x, y ) : −4 < x < 5, −3 < y < 2}
4. (a) (b) y y 3 2 1
−3 −2 −1 3 2 1 x The line x = −2 −3 −2 −1 x The line y = 3 5. The line x = 0 is the y -axis and the line y = 0 is the x-axis. 22 1.3 Relations and Functions Graphs of Equations In the previous section, we said that one could describe relations algebraically using equations. In
this section, we begin to explore this topic in greater detail. The main idea of this section is
The Fundamental Graphing Principle
The graph of an equation is the set of points which satisfy the equation. That is, a point (x, y ) is
on the graph of an equation if and only if x and y satisfy the equation. Example 1.3.1. Determine if (2, −1) is on t...

View
Full
Document