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Lesson 2.4
I CAN GRAPH A FUNCTION
WITH A TABLE
Example 1
 Graph the following
by making a table
 y = -2x + 5
x
-2
-1
0
1
2
y
9
f ( x)  2 x  5
f (2)  2(2)  5
f (2)  4  5
f (2)  9
Example 1
 Graph the following
by making a table
 y = -2x + 5
x
-2
-1
0
1
2
y
9
7
f (1)  2(1)  5
f (1)  2  5
f (1)  7
Keep going! Find f(0), f(1), f(2).
x
-2
-1
0
1
2
y
9
7
5
3
1
f ( x)  2 x  5
Example 1
f ( x)  2 x  5
x
-2
-1
0
1
2
y
9
7
5
3
1
 Describe the shape
of the graph
Example 2
 Graph the following
by making a table
 y = 7x – 2
x
y
-2 -16
-1
0
1
2
f ( x)  7 x  2
f (2)  7(2)  2
f (2)  14  2
f (2)  16
Example 2
 Graph the following
by making a table
 y = 7x – 2
x
y
-2 -16
-1 -9
0
1
2
f ( x)  7 x  2
f (1)  7(1)  2
f (1)  7  2
f (1)  9
Keep going! Find f(0), f(1), f(2).
x
-2
-1
0
1
2
y
-16
-9
-2
5
12
f ( x)  7 x  2
Example 2
f ( x)  7 x  2
x
-2
-1
0
1
2
y
-16
-9
-2
5
12
 Describe the shape
of the graph
Example 3
 Graph the following
by making a table
 y = x2 +1
f ( x)  x  1
2
f (2)  (2)  1
f (2)  4  1
f (2)  5
2
x
y
-2 5
-1
0
1
2
Example 3
 Graph the following
by making a table
 y = x2 +1
f ( x)  x  1
2
f (1)  (1)  1
f (1)  1  1
f (1)  2
2
x
y
-2 5
-1 2
0
1
2
Example 3
Keep going! Find f(0), f(1), f(2).
x
-2
-1
0
1
2
y
-16
-9
-2
5
12
f ( x)  x  1
2
Example 3
f ( x)  x  1
2
x
-2
-1
0
1
2
y
5
2
1
2
5
 Describe the shape
of the graph
Example 4
 Graph the following
by making a table
 y = 2x3 – 2
f ( x)  2 x  2
3
f (2)  2(2)  2
f (2)  2(8)  2
f (2)  16  2
f (2)  18
3
x
y
-2 -18
-1
0
1
2
Example 4
 Graph the following
by making a table
 y = 2x3 – 2
f ( x)  2 x  2
3
f (1)  2(1)  2
f (1)  2(1)  2
f (1)  2  2
3
x
y
-2 -18
-1 -4
0
1
2
f (1)  4
Example 3
Keep going! Find f(0), f(1), f(2).
x
-2
-1
0
1
2
y
-18
-4
-2
0
14
f ( x)  2 x  2
3
Example 3
f ( x)  2 x  2
3
x
-2
-1
0
1
2
y
-18
-4
-2
0
14
 Describe the shape
of the graph
Scale of 2 on the y-axis
Example 4
f ( x)  2 x  2
3
Are you a master?
 Graph f(x) = 3x + 6
x
y
-2 0
-1 3
0 6
1 9
2 12