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Describe a "slope function" in complete sentences. What is its purpose? Give some examples of functions and their slope functions. Homework Help ✎

Discuss the formal definition of a derivative (slope function) as a limit.

Compare and contrast IROC and AROC (or slope of tangent vs. slope of secant) and how that relates to slope functions.

Discuss some practical uses of slope functions; such as, finding where the original function is increasing, decreasing or at a local maximum or local minimum.

Discuss how slope functions appear in motion problems; What does slope on a distance graph represent? What does slope on a velocity graph represent?