select the correct answer.\nthe table represents function f.\nfunction g is an exponential function passing…

select the correct answer.\nthe table represents function f.\nfunction g is an exponential function passing through the points (3, -53) and (5, -41). which statement is true over the interval 3, 5?\na. the average rate of change of f is the same as the average rate of change of g.\nb. the average rate of change of f is less than the average rate of change of g.\nc. the average rate of change of f is greater than the average rate of change of g.\nd. the average rates of change of f and g cannot be determined from the given information.

select the correct answer.\nthe table represents function f.\nfunction g is an exponential function passing through the points (3, -53) and (5, -41). which statement is true over the interval 3, 5?\na. the average rate of change of f is the same as the average rate of change of g.\nb. the average rate of change of f is less than the average rate of change of g.\nc. the average rate of change of f is greater than the average rate of change of g.\nd. the average rates of change of f and g cannot be determined from the given information.

Answer

Explanation:

Step1: Calculate the average rate of change for function ( f )

The formula for the average rate of change of a function ( y = f(x) ) over the interval ([a,b]) is (\frac{f(b)-f(a)}{b - a}). For function ( f ) with ( a = 3), ( b=5), ( f(3)=59), ( f(5)=71). [ \frac{f(5)-f(3)}{5 - 3}=\frac{71 - 59}{2}=\frac{12}{2}=6 ]

Step2: Calculate the average rate of change for function ( g )

For function ( g ) with ( a = 3), ( b = 5), ( g(3)=- 53), ( g(5)=-41). [ \frac{g(5)-g(3)}{5 - 3}=\frac{-41-(-53)}{2}=\frac{-41 + 53}{2}=\frac{12}{2}=6 ]

Answer:

A. The average rate of change of ( f ) is the same as the average rate of change of ( g )