1. Module 1, Day 9 Have Out: Bellwork:
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Module 1, Day 9
Have Out:
Bellwork:
Identify the pattern in the tables as linear, quadratic or neither. You may wish to use the 1st and 2nd differences. Write the recursive and explicit equations if it is linear or quadratic.
1st difference
2nd difference
1st difference
2nd difference 1. x
f(x) 1 -4 2 -1 3 4 11 5 20 2. X
g(x) 1 -4 2 -1 3 4 5 8
Recursive equation: Recursive equation:
Explicit equation: Explicit equation:

2. Recursive equation: Recursive equation: Linear change = 3 + 2(x – 2)
1st difference
2nd difference
1st difference
2nd difference 1. 2. x
f(x) 1 -4 2 -1 3 4 11 5 20 X
g(x) 1 -4 2 -1 3 4 5 8 3 3 5 2 3 7 2 3 9 2 +1 +1 3 +1 +1
Quadratic +1
Linear +1
Recursive equation: Recursive equation:
Linear change = 3 + 2(x – 2) +1
g(1) = -4
= 3 + 2x – 4
g(x) = g(x – 1) + 3 +1
= 2x – 1 +1 +1
f(1) = -4 +1
f(x) = f(x – 1) + 2x – 1
or g(x) = 3x - 7
Explicit equation: Explicit equation: +1
f(x) = x2
- 5 +1 +1
g(x) = -4
+ 3(x – 1) +1