If you're seeing this message, it means we're having trouble loading external resources on our website.

Pokud používáš webový filtr, ujisti se, že domény: *.kastatic.org and *.kasandbox.org jsou vyloučeny z filtrování.

Hlavní obsah

STANDARDS

 > 

US-NY

Math

New York Math

Algebra II: Functions - Building Functions

Build a function that models a relationship between two quantities.

AII-F.BF.1

Write a function that describes a relationship between two quantities. (Shared standard with Algebra I)

AII-F.BF.1.a

Mostly covered
Determine a function from context. Determine an explicit expression, a recursive process, or steps for calculation from a context. (Shared standard with Algebra I)

AII-F.BF.1.b

Fully covered
Combine standard function types using arithmetic operations.

AII-F.BF.2

Fully covered
Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.

Build new functions from existing functions.

AII-F.BF.3b

Fully covered
Using f(x) + k, k f(x), f(kx), and f(x + k): i) identify the effect on the graph when replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); ii) find the value of k given the graphs; iii) write a new function using the value of k; and iv) use technology to experiment with cases and explore the effects on the graph. Include recognizing even and odd functions from their graphs. (Shared standard with Algebra I)

AII-F.BF.4a

Fully covered
Find the inverse of a one-to-one function both algebraically and graphically.

AII-F.BF.5a

Fully covered
Understand inverse relationships between exponents and logarithms algebraically and graphically.

AII-F.BF.6

Mostly covered
Represent and evaluate the sum of a finite arithmetic or finite geometric series, using summation (sigma) notation.

AII-F.BF.7

Mostly covered
Explore the derivation of the formulas for finite arithmetic and finite geometric series. Use the formulas to solve problems.