High School: 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.BF.B4c
(+) Read values of an inverse function from a graph or a table, given that the function has an inverse.
October 1, 2018HSF.BF.B4d
(+) Produce an invertible function from a non-invertible function by restricting the domain.
October 1, 2018HSF.BF.B5
(+) Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.
October 1, 2018