Salta al contenido principal

Si estás viendo este mensaje, significa que estamos teniendo problemas para cargar materiales externos en nuestro sitio.

Si estás detrás de un filtro de páginas web, por favor asegúrate de que los dominios *.kastatic.org y *.kasandbox.org estén desbloqueados.

STANDARDS

 > 

US-MS

Math

Mississippi Math

Compacted Mathematics Grade 8 (with Integrated Math I): Functions: Interpreting Functions (F-IF)

Understand the concept of a function and use function notation

F-IF.1

Fully covered
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).

F-IF.2

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

F-IF.3

Fully covered
Recognize that sequences are functions whose domain is a subset of the integers.

Interpret functions that arise in applications in terms of the context

F-IF.4

Partially covered
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.

F-IF.5

Fully covered
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.

F-IF.6

Fully covered
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.

Analyze functions using different representations

F-IF.7

Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

F-IF.7.a

Partially covered
Graph functions (linear and quadratic) and show intercepts, maxima, and minima.

F-IF.7.b

Mostly covered
Graph square root and piecewise-defined functions, including absolute value functions.

F-IF.7.c

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

F-IF.7.d

Fully covered
Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.

F-IF.7.e

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

F-IF.9

Fully covered
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.