Understand the relationship of algebraic and graphical representations of exponential, logarithmic, rational, power functions, and conic sections to their key features.

PC.F.4.1Interpret algebraic and graphical representations to determine key features of exponential functions. Key features include: domain, range, intercepts, intervals where the function is increasing, decreasing, positive or negative, concavity, end behavior, limits, and asymptotes.PC.F.4.2Integrate information to build exponential functions to model phenomena involving growth or decay.PC.F.4.3Interpret algebraic and graphical representations to determine key features of logarithmic functions. Key features include: domain, range, intercepts, intervals where the function is increasing, decreasing, positive or negative, concavity, end behavior, continuity, limits, and asymptotes.PC.F.4.4Implement graphical and algebraic methods to solve exponential and logarithmic equations in context with support from technology.PC.F.4.5Interpret algebraic and graphical representations to determine key features of rational functions. Key features include: domain, range, intercepts, intervals where the function is increasing, decreasing, positive or negative, concavity, end behavior, continuity, limits, and asymptotes.PC.F.4.6Implement graphical and algebraic methods to solve optimization problems given rational and polynomial functions in context with support from technology.PC.F.4.7Construct graphs of transformations of power, exponential, and logarithmic functions showing key features.PC.F.4.8Identify the conic section (ellipse, hyperbola, parabola) from its algebraic representation in standard form.PC.F.4.9Interpret algebraic and graphical representations to determine key features of conic sections (ellipse: center, length of the major and minor axes; hyperbola: vertices, transverse axis; parabola: vertex, axis of symmetry).
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