Let f(x) = logx

What is the average rate of change of f(x) from 4 to 6?

Round to the nearest hundredth.

(a.) 0.09
(b.) 0.18
(c.) 0.20
(d.) 0.41

Respuesta :

(a.) 0.09

equation:

f(x) = log(x)

rate of change:

[tex]\sf \rightarrow \sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\sf \rightarrow \sf \dfrac{log(4) -log(6)}{4-6}[/tex]

[tex]\sf \rightarrow 0.088[/tex]

[tex]\sf \rightarrow 0.09[/tex]

Answer:

[tex]A.\: 0.09[/tex]

Step-by-step explanation:

Rate of Change is: [tex]\frac{y{_1-y{_2} } }{x_2-x_1}[/tex]

[tex]\frac{log(4)-log (6)}{4-6}[/tex]

[tex]0.088[/tex]

[tex]0.09[/tex]