Q:

Find the degree of the power function represented in the table below. 30 points!

Accepted Solution

A:
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 = -65 - 7 = -2 7 - 5 = 2 13 - 7 = 623 - 13 = 10Now, new values are -10, -6, -2, 2, 6, 10Iteration 2:-6 - (-10) = -6 + 10 = 4,-2 - (-6) = -2 + 6 = 42 - (-2) = 2 + 2 = 46 - 2 = 410 - 6 = 4So, the difference is constant on the second time of iteration. Therefore, the degree of the power function is 2.