document.write( "Question 1139374: Find the average rate of change of f(x) =2x^3 from -4 to 0
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Algebra.Com's Answer #759834 by rothauserc(4718)\"\" \"About 
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slope = average rate of change = (f(b) - f(a)) / (b - a), where b is the upper bound of the interval and a is the lower bound of the interval
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\n" ); document.write( "a = -4, b = 0
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\n" ); document.write( "f(0) = 2 * 0^3 = 0
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\n" ); document.write( "f(-4) = 2 * (-4)^3 = -128
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\n" ); document.write( "average rate of change = (0 - (-128)) / (0 - (-4)) = 32
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\n" ); document.write( "the equation of the secant line through the two points (-4,-128) and (0,0)
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\n" ); document.write( "y = mx +b
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\n" ); document.write( "y = 32x +b
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\n" ); document.write( "pick one of the points
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\n" ); document.write( "0 = 32(0) + b
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\n" ); document.write( "b = 0
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\n" ); document.write( "y = 32x is the equation of the secant line
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