Now find the change in x. The change in x is . The average rate of change of f(x) = x2 + 5x −−12 from x = −2 to x = 1 is

Answer:The average rate of change = 4.Step-by-step explanation:Here we have formula.Average rate of change = f(b) - f(a)                                            -----------                                             b - aGiven: f(X) = x^2 + 5x - 12 interval [-2, 1]Here a = -2 and b = 1f(a) = f(-2) = (-2)^2 + 5(-2) -12= 4 -10 -12f(-2) = -18f(b) = f(1) = (1)^2 + 5(1) - 12= 1 + 5 -12f(1) = 6 -12f(1) = -6Now apply these values in the above formula, we getAverage rate of change = [-6 - (-18)] / [1 -(-2)]= [ -6 +18]/1 +2= 12/3= 4.Therefore, the average rate of change = 4.Hope this will helpful.Thank you.