(Section 1.10: Difference Quotients) 1.10.1 SECTION 1.10: DIFFERENCE QUOTIENTSLEARNING OBJECTIVES• Define average rate of change (and average velocity) algebraically and graphically. • Be able to identify, construct, and evaluate (and simplify) various forms of difference quotients. PART A: DISCUSSION• This section will revisit Section 0.14 on slopes of lines, Section 1.1 on function evaluations, and Section 1.2 on graphs. • A difference quotientis used to find the slope of a secant lineto a graph or to find an average rate of change(perhaps an average velocity). Difference quotients will form the basis for derivatives, tangent lines, and instantaneous rates of change in
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