Determine the average rate of change of the function on the given interval

Question

K(x)=x^3+3

[-5,-4]

the average rate of change of the function is _______

[-3,0]

the average rate of change of the function is ________

[0,3]

the average rate of change of the function is ______

Answer 1

K(x) = x^3 + 3

K(-5) = 125+3 = 128

K(-4) = 64+3 = 67

(128-67)/1 = 61 = average rate of change over the interval [-5,-4]

for the interval [-3,0]

K(-3) = -27+3 = -24

K(0) = 0 +3 = 3

(3--24)/3 = 27/3 = 9 = average rate of change from x=-3 to x=0

for the interval [0,3]

K(3) =27+3 = 30

(30-3)/3 = 27/3 = 9 = average rate of change from x=0 to x=3