High School: Functions
HSF.LE.A1c
Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.
October 1, 2018HSF.LE.A2
Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).
October 1, 2018HSF.LE.A3
Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.
October 1, 2018HSF.LE.A4
For exponential models, express as a logarithm the solution to abct = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology.
October 1, 2018HSF.LE.B5
Interpret the parameters in a linear or exponential function in terms of a context.
October 1, 2018HSF.IF.C7b
Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.
October 1, 2018HSF.IF.C7c
Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.
October 1, 2018HSF.IF.C7d
(+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.
October 1, 2018HSF.IF.C7e
Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.
October 1, 2018HSF.IF.C8
Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
October 1, 2018HSF.IF.C8a
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.
October 1, 2018HSF.IF.C8b
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)12^t, y = (1.2)^t/10, and classify them as representing exponential growth or decay.
October 1, 2018