AII-F.BF: Functions - Building Functions

Functions - Building Functions

AII-F.BF.1Write a function that describes a relationship between two quantities. (Shared standard with Algebra I)AII-F.BF.2Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.AII-F.BF.3bUsing 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.4aFind the inverse of a one-to-one function both algebraically and graphically.AII-F.BF.5aUnderstand inverse relationships between exponents and logarithms algebraically and graphically.AII-F.BF.6Represent and evaluate the sum of a finite arithmetic or finite geometric series, using summation (sigma) notation.AII-F.BF.7Explore the derivation of the formulas for finite arithmetic and finite geometric series. Use the formulas to solve problems.
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