Page 195 - Algebra 1

Matching a Graph to a Table
Use the coordinates in each table to match each graph with one of the tables.
T a b l e 1 R u l e : f ( x ) = _1 x + 4 3
Table 2 Rule: f(x) = 5x - 1
Table 3 Rule: f(x) = -_1x + 2 2
SOLUTION
Table 1 has the ordered pair (0, 4). The graph in Graph 3 is the only graph that includes this point. The ordered pairs (3, 5) and (6, 6) also are on the graph. Graph 3 matches the values in Table 1.
For Table 2, look at the ordered pair (0, -1). This
ordered pair only occurs in Graph 1. The ordered pairs (-1, -6)
and (1, 4) also are on the graph. Graph 1 matches the values in Table 2.
Graph 2 matches Table 3. The ordered pairs (-4, 4), (0, 2), and (4, 0) are on Graph 2.
Matching an Equation to a Graph
Match the three equations below to the three graphs shown. Equation A: y = x + 3
Equation B: y = ⎪x⎥ + 3
Equation C: y = √x + 3
Example
2
x
-3
0
3
6
9
f (x)
3
4
5
6
7
x
-2
-1
0
1
2
f (x)
-11
-6
-1
4
9
-4
8
-4
x
-4
-2
0
2
4
f (x)
4
3
2
1
0
Graph
3
-8
8
y
Math Reasoning
Analyze To match an equation to a graph, what characteristic(s) of the graph can often be most easily identified in the equation?
O
x
-8
-4
4
8
-4
-8
Example
3
y
12
y
8
Gr
aph 1
Graph
2
Graph 3
4
8
x
O
x
O
-8
4
Online Connection www.SaxonMathResources.com
-8
4
8
-8
-4
-4
8
y
4
8
-4
O
x
-4
4
8
1
2
-8
180 Saxon Algebra 1
Graph 1
8
y
4
x
O
-8
-4
4
8
-8
y
8
Graph
2
4
x
O
-8
4