IF.4.AIII

IF.4.AIII

IF.4.AIII.1Graph rational functions identifying zeros and asymptotes when suitable factorizations are available; show end behaviorIF.4.AIII.2Analyze and interpret polynomial functions numerically, graphically, and algebraically, identifying key characteristics such as intercepts, end behavior, domain and range, relative and absolute maximum and minimum, as well as intervals over which the function increases and decreasesIF.4.AIII.3Analyze and interpret rational functions numerically, graphically, and algebraically, identifying key characteristics such as asymptotes (vertical, horizontal, and slant), end behavior, point discontinuities, intercepts, and domain and rangeIF.4.AIII.4Analyze and interpret exponential functions numerically, graphically, and algebraically, identifying key characteristics such as asymptotes, end behavior, intercepts, and domain and rangeIF.4.AIII.5Analyze and interpret logarithmic functions numerically, graphically, and algebraically, identifying key characteristics such as asymptotes, end behavior, intercepts, and domain and rangeIF.4.AIII.6Build functions to model real-world applications using algebraic operations on functions and composition of functions, with and without appropriate technology [e.g., profit functions as well as volume and surface area (optimization subject to constraints)]
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