3 years ago

2. The number of phones (landline and cell) owned by the members of each of nine families is 3, 5, 6, 6, 6,

Mathematics

1 answer:

kap26 [50]3 years ago

8 0

Answer:

mean = 6

Step-by-step explanation:

hope this help you !! ;))

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Given the function f(x)=x^2-8x+13f(x)=x, determine the average rate of change of the function over the interval −1≤x≤6.

Ann [662]

Given:

Consider the given function is:

$f(x)=x^2-8x+13$

To find:

The average rate of change of the function over the interval $-1\leq x\leq 6$ .

Solution:

The average rate of change of the function f(x) over the interval [a,b] is:

$m=\dfrac{f(x_2)-f(x_1)}{x_2-x_1}$

We have,

$f(x)=x^2-8x+13$

At $x=-1$ ,

$f(-1)=(-1)^2-8(-1)+13$

$f(-1)=1+8+13$

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At $x=6$ ,

$f(6)=(6)^2-8(6)+13$

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$f(6)=1$

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$m=\dfrac{f(6)-f(-1)}{6-(-1)}$

$m=\dfrac{1-22}{7}$

$m=\dfrac{-21}{7}$

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Therefore, the average rate of change of the function f(x) over the interval $-1\leq x\leq 6$ is -3.

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