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# Functions: Interpreting Functions2003 questions102 skills

## HSF-IF.A.1

227 questions11 skills
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 graph of f is the graph of the equation y = f(x).

## HSF-IF.A.2

176 questions11 skills
Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

## HSF-IF.A.3

114 questions6 skills
Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers.

## HSF-IF.B.4

278 questions15 skills
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 behavior; and periodicity.

## HSF-IF.B.5

46 questions3 skills
Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.

## HSF-IF.B.6

76 questions3 skills
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.

## HSF-IF.C.7a

305 questions17 skills
Graph linear and quadratic functions and show intercepts, maxima, and minima.

## HSF-IF.C.7b

92 questions6 skills
Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.

## HSF-IF.C.7c

Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.
Skills for this standard are coming soon.

## HSF-IF.C.7d

20 questions1 skill
Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.

## HSF-IF.C.7e

135 questions7 skills
Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.

## HSF-IF.C.8a

317 questions12 skills
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.

## HSF-IF.C.8b

35 questions2 skills
Use the properties of exponents to interpret expressions for exponential functions.

## HSF-IF.C.9

101 questions4 skills
Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).