​A function is given. Determine the average rate of change of the function betwe

Algebra
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A function is given. Determine the average rate of change of the function between the given values of the variable.

g(x) = 2 + 
1
2
x;    x = 1, x = 9

f(z) = 3 − 2z2;    z = −2, z = 0


f(x) = 7 − x2;    x = 6, x = 6 + h
Feb 15th, 2015

a. g(9)-g(1) / 9-1

11 - 3 / 8

8/8

1

b. f(0) -f(-2) / 0+2

3 - 3 + 8 / 2

8/2

4

c.  f(6+h) - f(6) / (6 + h -6)

7 - (6+h)^2 - 7 + 6^2 / h

-36 - 12h - h^2 + 36 /h

-12h - h^2 /h

-12 - h

Feb 15th, 2015

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