# Common Core: Interpreting Functions

##### HSF.IF.A1

Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The … Read More “HSF.IF.A1”

October 1, 2018##### HSF.IF.A2

Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

October 1, 2018##### HSF.IF.A3

Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. For example, the Fibonacci sequence is defined recursively by f(0) = f(1) = 1, f(n+1) = f(n) + f(n-1) for n ≥ 1.

October 1, 2018##### HSF.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, 2018##### 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, 2018##### HSF.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, 2018##### HSF.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, 2018##### HSF.IF.C7a

Graph linear and quadratic functions and show intercepts, maxima, and minima.

October 1, 2018##### HSF.IF.C7b

Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.

October 1, 2018##### HSF.IF.C7c

Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.

October 1, 2018##### HSF.IF.C7d

(+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.

October 1, 2018##### HSF.IF.C7e

Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.

October 1, 2018