Average Rate of Change of a Function

1. [-12 Points] DETAILS SPRECALC7 2.4.009. Y NOTES ASK YOUR TEACHER PRACTICE ANOTHER The graph of a function is given. Y (a) Determine the net change between the indicated points on the graph. :1 (b) Determine the average rate of change between the indicated points on the graph. :] \Afithivrr init'lr' IIIIII 2. [-12 Points] DETAILS SPRECALC7 2.4.016.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A function is given. f(2) = 1 422; z: 2,z=0 (a) Determine the net change between the given values of the variable. (b) Determine the average rate of change between the given values of the variable. 3. [I2 Points] DETAILS SPRECALC7 2.4.019.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A function is given' f(t)=4t2; t= 5,t=5+h (a) Determine the net change between the given values of the variable. (b) Determine the average rate of change between the given values of the variable. 4. [-12 Points] DETAILS SPRECALC7 2.4.023. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A function is given. r(:)=%; t=a,t=a+h (a) Determine the net change between the given values of the variable. (b) Determine the average rate of change between the given values of the variable. 5. [l6 Points] DETAILS SPRECALC7 2.4.031.Ml. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The table gives the population in a small coastal community for the period 1997 - 2006. Figures shown are forJanuary 1 each year. Year Population 1997 624 1998 856 1999 1,336 2000 1 , 578 200 1 1 , 5 9 1 2002 1,483 2003 994 2004 826 2005 80 1 2006 745 (a) What was the average rate of change of population between 1998 and 2000? :l (b) What was the average rate of change of population between 2002 and 2006? :i (c) For what period of time was the population increasing? The population was increasing from until . (d) For what period of time was the population decreasing? The population was decreasing from until . Wind ows in k We rks pace [013 Points] DETAILS PREVIOUS ANSWERS SPRECALC7 2.2.050. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A graph of a piecewise defined function is given