Question

Calculate the average rate of change for the given graph from x = 0 to x = 3 and select the correct answer below. parabolic function going down from the left through the point zero comma six and turning at approximately the point two and one half comma negative one fourth and going up through the point three comma zero and continuing towards infinity Courtesy of Texas Instruments 6 3 –2 2

Answer 1

we just need the points where x=0 and x=3
calculate the slope between those points and that is the average rate of change from x=0 to x=3


so we gots (0,6) and (3,0)
slope between (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)
slope between (0,6) and (3,0) is (0-6)/(3-0)=-6/3=-2

average rate of change from x=0 to x=3 is -2