Compare the estimated average rate of change for the graphed cubic function b(x)=3x 9−−−−−√3 to the estimated average rate of change of the square root function d(x)=−3x 9−−−−−−−√ over the interval [−12,−3] . Which comparison is true? (1 point) Responses The estimated average rate of change of b(x) is greater than the estimated average rate of change of d(x) because b(x) is increasing over the interval but d(x) is decreasing. The estimated average rate of change of b times x is greater than the estimated average rate of change of d times x because b times x is increasing over the interval but d times x is decreasing. The estimated average rate of change of d(x) is greater than the estimated average rate of change of b(x) , but both rates are negative. The estimated average rate of change of d times x is greater than the estimated average rate of change of b times x, but both rates are negative. The estimated average rate of change of d(x) is greater than the estimated average rate of change of b(x) because d(x) is positive over the interval but b(x) is negative. The estimated average rate of change of d times x is greater than the estimated average rate of change of b times x because d times x is positive over the interval but b times x is negative. The estimated average rate of change of b(x) is greater than the estimated average rate of change of d(x) , but both rates are positive.
The correct comparison is: The estimated average rate of change of b(x) is greater than the estimated average rate of change of d(x) because b(x) is increasing over the interval but d(x) is decreasing.
