Answer:
Degree is 2.
Step-by-step explanation:
Given:
From the table, it is clear that the power function has an even degree as it a reflection across the y axis.
Now, to determine the exact degree, we find the difference of each pair of y values each time and check the difference. When the difference becomes constant, then that iteration number is the degree.
For example, if the difference becomes constant for each pair of y values on the 3rd time, then the degree of the function is 3.
Let us find the difference now.
Iteration 1:
13 - 23 = -10
7 - 13 = -6
5 - 7 = -2
7 - 5 = 2
13 - 7 = 6
23 - 13 = 10
Now, new values are -10, -6, -2, 2, 6, 10
Iteration 2:
-6 - (-10) = -6 + 10 = 4,
-2 - (-6) = -2 + 6 = 4
2 - (-2) = 2 + 2 = 4
6 - 2 = 4
10 - 6 = 4
So, the difference is constant on the <u>second time</u> of iteration. Therefore, the degree of the power function is 2.
