What is the difference?
2 answers:
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For the table, we can count the circles that appear in each step of the fractal. The center is a single circle and is step 0. Step 1 sees 4 circles grow off of that one circle. Step 2 sees 4 circles grow off of each of these circles. Therefore the table should be:
Step 0 : 1 circle
Step 1 : 4 circles
Step 2 : 16 circles
Step 3: 64 circles
Using this table, we can solve the second part. This function is exponential growth and each step is a multiple of 4. Therefore, the function is
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Step 0 : 1 circle
Step 1 : 4 circles
Step 2 : 16 circles
Step 3: 64 circles
Using this table, we can solve the second part. This function is exponential growth and each step is a multiple of 4. Therefore, the function is
Answer:
You can see the graph in the attached file.
Step-by-step explanation:
You need to propouse values of x, and substitue into the equation to get the corresponding value of y. In other words you need to evaluate the function for each value of x. With those values you can build the table.
For example choose the value x = 0, then you can calculate the value of y:
f(0) = 6
Then when x = 0, y = 6
The coordinates for the graph (x, y) = (0, 6)
For the table choose different values, include: zero, negative and positive numbers.
x y
x = f(x)=
-20 -15330794
-15 -3582444
-10 -456694
-5 -12794
-1 2
0 6
1 4
5 17456
10 535306
15 3984306
20 16605206
Review the attached excel file, there you will see the table and how to do the calculations in the cell.
Once you have the values in the chart, select the data. Then from the bar choose insert and then select the xy scatter.
Also you can see the graph in the file.