Given the function f(x)=-x^2+2x+3f(x)=−x 2 +2x+3, determine the average rate of change of the function over the interval -3\le x \le 3−3≤x≤3.

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

true

step-by-step explanation:

it is more then likely a review to you prepare for an upcomign test or quiz