What is the average rate of change in f(x) over the interval [4,13]?
a. 1/3
b.4/13
c. 11/13
d.11/8

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Respuesta :

calculista calculista · Answer 1 · 2018-08-07T05:07:38+02:00

we know that

Average Rate of Change. is the change in the y-value divided by the change in the x-value for two distinct points on the graph

So

[tex] A=\frac{(f(b)-f(a))}{(b-a)} [/tex]

in this problem

[tex] a=4\\ b=13\\ f(a)=f(4)=8\\ f(b)=f(13)=11 [/tex]

substitute the values in the formula above

[tex] A=\frac{(11-8)}{(13-4)} \\ \\ A=\frac{3}{9} [/tex]

Divide by [tex] 3 [/tex] both numerator and denominator

[tex] A=\frac{1}{3} [/tex]

therefore

the answer is

[tex] \frac{1}{3} [/tex]

abidemiokin abidemiokin · Answer 2 · 2022-01-31T17:23:20+01:00

The average rate of change in g(x) over the interval [4,13] is 3/11

The formula for calculaitng the rate of change of function is expressed as:

Givn the interval [4, 13]

a = 4,

b = 13

g(4) from the graph is 8

g(13) from the graph is 11

Substitte into the formula

g(x) = 11-8/13-4
g(x) = 3/11

Hence the average rate of change in g(x) over the interval [4,13] is 3/11

Learn more average rate of change here: https://brainly.com/question/11627203