A function is given. Determine the average rate of change of the function bet

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.

h(t) = t2 + 5t;    t = −1, t = 2

af(z) = 5 − 4z2;    z = −2, z = 0

f(x) = x3 − 5x2;    x = 0, x = 10

f(x) = x + x4;    x = −3, x = 5

f(x) = 5x2;    x = 3, x = 3 + h

f(x) = 3 − x2;    x = 6, x = 6 + h

Feb 15th, 2015

[4+5-(1-5)]/3 = 13/3

[5-(5-16)]/2 =8

[1000-500-0]/10 =50

[5+625+3-81]/8 = (633-81)/8 = 552/8 = 69

[5(3+h)^2-5(3)^2]/h = 5(9+6h+h^2-9)/h = 5*6+5h = 30+5h

[3-(6+h)^2-3+6^2]/h = -(36+12h+h^2-36)/h = -12-h

Feb 16th, 2015

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Feb 15th, 2015
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Feb 15th, 2015
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