Common Core: Interpreting Functions
HSF.IF.B5
Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function.*
October 1, 2018HSF.IF.B6
Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.*
October 1, 2018HSF.IF.C7
Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.*
October 1, 2018HSF.IF.C7a
Graph linear and quadratic functions and show intercepts, maxima, and minima.
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, 2018HSF.IF.C9
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.
October 1, 2018