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

table 3 represents a direct variation function. : )

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation: