Question

Compare the estimated average rate of change of the exponential function y=9(13)x and the quadratic function y=9x2+13x . Which function has a negative estimated average rate of change over the interval [0.1,0.6] ?(1 point)
Responses

the quadratic function
the quadratic function

both functions
both functions

neither function
neither function

the exponential function
the exponential function

Answer 1

neither function

Both average rates are positive:
- Exponential: (9·13^0.6 − 9·13^0.1)/0.5 ≈ (41.96 − 11.63)/0.5 ≈ 60.65
- Quadratic: (9(0.6)^2 +13(0.6) − [9(0.1)^2 +13(0.1)])/0.5 = (11.04 − 1.39)/0.5 = 19.3