Given f(x) = 2x2 - 4, find the average rate of change from x1 = -2 to x2 = 4.

The average rate of change = 4

Step-by-step explanation:

Given the function

x₁=-2, x₂=4

f(x₁) = f(-2) = 2x²-4 = 2(-2)²-4 = 8-4 = 4

f(x₂) = f(4) = 2x²-4 = 2(4)²-4 = 32-4 = 28

The average rate of change = f(x₂) - f(x₁) / x₂ - x₁

                                                = (28-4)/(4-(-2))

                                                = 24/6

                                                = 4

Thus, the average rate of change = 4

step-by-step explanation:

an advantage of the standard deviation is that it increases as the dispersion of the data increases. e. the interquartile range is preferred when the data are not skewed or no have outliers. an advantage of the standard deviation is that it uses all the observations in its computation.