For the function y=fx=√ 2x-5

Question

Determine the average rate of change of y with respect to x from x=3 to x=5.

Answer 1

m = [ f(b) - f(a) ] / ( b - a )

If your question means:

f(x) =√ (2 x - 5 )

then

m = [ f(b) - f(a) ] / ( b - a )

m = [ f(5) - f(3) ] / ( 5 - 3 ) =

[ √ ( 2 ∙ 5 - 5 ) - √ ( 2 ∙ 3 - 5 ) ] / 2 =

[ √ ( 10 - 5 ) - √ ( 6 - 5 ) ] / 2 =

( √ 5 - √1 ) / 2 =

( √ 5 - 1 ) / 2 = 0.618033989