Name
LESSON
1-7
Date
Class
Reteach
Function Notation
You can use function notation to write a function.
Read: f of x
equals 2x 3.
f(x) 2x 3
Output f(x)
Input x
1 , and f (2) for f (x) 2x 2 x 1.
Evaluate f (0), f __
2
2
f (0) 2(0) 0 1 1
1 2 __
1
f __
2
2
2
Subsitute 0 for x in the
function and evaluate.
1 1 2 __
1 __
1 1 __
1 __
1 1 1
__
2
4
2
2
2
1 for x.
Substitute __
2
f (2) 2(2) 2 (2) 1 2(4) 2 1 8 2 1 11
Substitute 2 for x.
3 , and f (⫺1).
For each function, evaluate f (0), f __
2
1. f (x) 4x 2 2
2
3 4 __
3
f __
2
2
f (0) 4(0) 2 2
⫺2
2
f (1) 4(1) 2 2
7
2
2. f (x) 2x 10
10
f (0) 3. f (x) x 6x
2
f (0) 7
3 f __
2
3 f __
2
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a207c01-7_rt.indd Sec1:54
12
f (1) ⫺5
45
___
0
f (1) 4
54
Holt Algebra 2
12/20/05 1:47:18 PM
Process Black
Name
Date
Class
Reteach
LESSON
1-7
Function Notation
(continued)
Plot ordered pairs on a coordinate plane to graph a function.
Y
Values between given points
are not defined. Do not connect
the points.
To graph f x 2x 3, make a
table of values.
X
Y
All points
are defined.
Connect the
points.
f x
2 2 2 3
7
1 2 1 3
5
⫺2x ⫹ 3
x
0
2 0 3
3
1
2 1 3
1
2
2 2 3
1
X
Graph each function on the coordinate plane given.
Y
4.
5. g x 2x 4
x
0
1
2
3
4
2x 4
g x
2 0 ⫺ 4
2 1 ⫺ 4
2 2 ⫺ 4
2 3 ⫺ 4
2 4 ⫺ 4
⫺4
⫺2
0
2
4
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a207c01-7_rt.indd Sec1:55
X
55
Holt Algebra 2
5/5/06 12:44:38 PM
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