Lesson 20
Hart Interactive – Algebra 1
M3
T
ALGEBRA I
Homework Problem Set Sample Solutions
S.177
Graph each set of functions on the same grid. Then state which is linear and which is exponential and
whether they are showing growth or decay.
x)
1. A. f (=
x
1
x −4
2
1
B. =
f (x)   − 4
2
B. f (x=) 3x + 1
2. A. f (x=) 3x + 1
Lesson 20:
Unit 9:
What comes Next?
Exponential Functions
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org
This file derived from ALG I-M3-TE-1.3.0-08.2015
299
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 20
Hart Interactive – Algebra 1
M3
T
ALGEBRA I
Fill in the chart by stating the next terms in each sequence, writing the formula, determining the common
difference or ratio and finally describing the sequence as arithmetic or geometric.
Sequence
Formula
3.
2, 5, 8, 11 , 14
f(x) = 3x – 1
4.
2, 6, 18, 54 , 162
f(x) =
5.
Common
Difference or Ratio
Arithmetic or
Geometric?
d=3
arithmetic
2
• 3x
3
r=3
geometric
-2, -4, -8, -16 , -32
f(x) = – 1 • 2x
r=2
geometric
6.
-2, -4, -6, -8 , -10
f(x) = – 2x
d=–2
arithmetic
7.
1, 2, 3, 4 , 5
f(x) = x
d=1
arithmetic
8.
1, 3, 9, 27 , 81
f(x) = 3x – 1
r=3
geometric
9.
-1, -4, -7, -10 , -13
f(x) = –3x + 2
d=–3
arithmetic
f(x) = – 1 • 4x – 1
r=4
geometric
10. -1, -4, -16, -64 , -256
Lesson 20:
Unit 9:
What comes Next?
Exponential Functions
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org
This file derived from ALG I-M3-TE-1.3.0-08.2015
300
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.