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saveliy_v [14]
2 years ago
12

Consider the exponential functions below.

Mathematics
1 answer:
klio [65]2 years ago
3 0

The functions in order from least to greatest according to their average rates of change are function f at the interval [1,2], function h at the interval [0,2] and function g at the interval [2,3]

<h3>How to order the functions?</h3>

The rate of change is calculated using:

m = \frac{y_2 -y_1}{x_2 -x_1}

For function g at the interval [2,3], we have:

m = \frac{g(3) - g(2)}{3- 2}

This gives

m = \frac{20 - 4}{3- 2}

m =16

For function h at the interval [0,2], we have:

m = \frac{h(2) - h(0)}{2- 0}

Where:

h(2) = 3(3)^2 - 9 = 18

h(0) = 3(3)^0 - 9 = -6

This gives

m = \frac{18 + 6}{2 - 0}

m = 12

For function f at the interval [1,2], we have:

m = \frac{f(2) - f(1)}{2- 1}

This gives

m = \frac{12 - 6}{2 - 1}

m = 6

Hence, the functions are function f at the interval [1,2], function h at the interval [0,2] and function g at the interval [2,3]

Read more about average rates of change at:

brainly.com/question/8728504

#SPJ1

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Answer:

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Step-by-step explanation:

The least common denominator of 3, 4, 6, and 8 is 24; converting all of our fractions to that denominator and solving, we have

-\frac{8}{3}+\left(-\frac{1}{4}\right)+\left(-\frac{11}{6}\right)+\frac{3}{8}-3\\=-\frac{64}{24}+\left(-\frac{6}{24}\right)+\left(-\frac{44}{24}\right)+\frac{9}{24}-3\\\\=\frac{-64+(-6)+(-44)+9}{24} -3\\\\=\frac{-70+(-44)+9}{24} -3\\\\=\frac{-114+9}{24} -3\\\\=\frac{-105}{24}-3 \\\\=\frac{-35}{8}-3\\ \\=-4\frac{3}{8}-3\\\\=-7\frac{3}{8}

So our solution is -7 3/8

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