Common Core: MATH.CONTENT
HSF.LE.A1
Distinguish between situations that can be modeled with linear functions and with exponential functions.
October 1, 2018HSF.LE.A1a
Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.
October 1, 2018HSF.LE.A1b
Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.
October 1, 2018HSF.IF.B4
For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end … Read More “HSF.IF.B4”
October 1, 2018HSF.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, 2018