Question

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

Answer 1

`A.\: 0.09`

Explanation:

Rate of Change is:
`\frac{y{_1-y{_2} } }{x_2-x_1}`

`(log(4)-log (6))/(4-6)`

`0.088`

`0.09`

Answer 2

(a.) 0.09

equation:

f(x) = log(x)

rate of change:

`\sf \rightarrow \sf (y_2-y_1)/(x_2-x_1)`

`\sf \rightarrow \sf (log(4) -log(6))/(4-6)`

`\sf \rightarrow 0.088`

`\sf \rightarrow 0.09`