document.write( "Question 894116: Use the difference quotient to find the average rate of change for this function F(X) = 5-4x. If someone could help I am completely lost. \n" ); document.write( "

Algebra.Com's Answer #541785 by rothauserc(4718) $\"\"$ $\"About$

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The difference quotient in calculus is defined as
\n" ); document.write( "[ f (x + h) – f(x) ] / h
\n" ); document.write( "now we need to calculate f(x+h) given f(x) = 5-4x, therefore
\n" ); document.write( "f(x+h) = 5-4(x+h) = 5 -4x -4h
\n" ); document.write( "now for the difference quotient
\n" ); document.write( "(5 -4x -4h -5 +4x) / h = -4h/h = -4
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