1. Module 1, Day 10 Have Out: Bellwork:
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Module 1, Day 10
Have Out:
Bellwork:
Identify the pattern in the tables as linear, exponential or quadratic. Write the recursive and explicit equations for each table. You may wish to use the 1st and 2nd differences, if necessary.
1st difference
2nd difference
1st difference
2nd difference 1. x
f(x) 3 18 4 54 5
162 6
486 7
1458 2. x
g(x) -2 12 -1 9 8 1 2
Recursive equation: Recursive equation:
Explicit equation: Explicit equation:

2. Recursive equation: Recursive equation: Linear change = -3 + 2(x + 1)
1st difference
2nd difference
1st difference
2nd difference 1. 2. x
f(x) 3 18 4 54 5
162 6
486 7
1458 X
g(x) -2 12 -1 9 8 1 2 3 -3 3 -1 2 3 1 2 3 3 2 +1 +1 +1 +1
Exponential
Quadratic +1
Recursive equation: Recursive equation:
Linear change = (x + 1) +1
f(3) = 18
= x + 2 +1
f(x) = 3  f(x – 1)
= 2x – 1 +1 +1
g(-2) = 12 +1
g(x) = g(x – 1) + 2x – 1
Explicit equation: Explicit equation:
f(x) =
18(3)
x-3 +2 +1
g(x) = x2
+ 8 +1