Question 1198549
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The term difference quotient refers to first finding the difference of f(x+h)-f(x), then the quotient is the ratio of that over h as shown in the steps below.


{{{f(x) = 3x+7}}}


{{{f(x+h) = 3(x+h)+7}}}


{{{f(x+h) = 3x+3h+7}}}


{{{f(x+h)-f(x) = (3x+3h+7)-(3x+7)}}} Difference


{{{f(x+h)-f(x) = 3x+3h+7-3x-7}}}


{{{f(x+h)-f(x) = 3h}}}


{{{(f(x+h)-f(x))/h = (3h)/h}}} Quotient


{{{(f(x+h)-f(x))/h = 3}}}


The idea is that h doesn't equal zero, but we slowly approach h = 0 to find the tangent slope function. 
In the case of any linear equation, the tangent slope is the slope of the linear function itself.


Answer: <font color=red>Choice D) 3</font>
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