Web Analytics

Verified Answer :

calculista

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

\(A=\frac{(f(b)-f(a))}{(b-a)}\)

in this problem

\(a=4\\ b=13\\ f(a)=f(4)=8\\ f(b)=f(13)=11\)

substitute the values in the formula above

\(A=\frac{(11-8)}{(13-4)} \\ \\ A=\frac{3}{9}\)

Divide by \(3\) both numerator and denominator

\(A=\frac{1}{3}\)

therefore

the answer is

\(\frac{1}{3}\)

abidemiokin

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

Rate of change

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

  • g(x) = f(b)-f(a)/b-a

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

Related Questions