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Common Core Mathematics 9-12

ClusterAnalyze functions using different representations
  Grade 9-12
   F.IF.7. Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
   F.IF.7.a. Graph linear and quadratic functions and show intercepts,maxima, and minima.
   F.IF.7.b. Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.
   F.IF.7.c. Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.
   F.IF.7.d. (+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.
   F.IF.7.e. Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.
   F.IF.8. Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
   F.IF.8.a. Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.
   F.IF.8.b. Use the properties of exponents to interpret expressions for exponential functions. For example, identify percent rate of change in functions such as y = (1.02)t, y = (0.97)t, y = (1.01)12t, y = (1.2)t/10, and classify them as representing exponential growth or decay.
   F.IF.9. Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.