Complete the table: n, step number
g(n), number of small squares
0
120 =
1
= 2
2
2 = 4
3
24 = 8
4
2 = 16
5
2º - 32
6
= 64
7
= 128
8
21 = 156
How would the two patterns compare if they continue to grow? Make 1-2 observations.
d.
Graph A
Graph B
Graph C
Graph D
4.3: Comparing Two More Functions
Here are two functions: p(x) = 6x and q(x) = 3.
Investigate the output of p and q for different values of x. For large enough values of x, one function will have a greater value than the other. Which function will have a greater value as x increases?
Support your answer with tables, graphs, or other representations.
