of functions. Analyze F.IF.9 F.IF.9 Compare Tasks are limited to linear Tasks may involve polynomial, functions using properties of two functions, quadratic functions, exponential, logarithmic, and different functions each square root functions, cube root trigonometric functions. representations represented in a functions, piecewise-defined The functions listed here are the different way functions (including step same as those listed in the (algebraically, functions absolute value Algebra II column for Standards graphically, functions) and exponential F.IF.4 and F.IF.6. numerically in tables, functions with domains in the or by verbal integers. descriptions). The functions listed here are the same as those listed in the Algebra II column for Standards F.IF.4 and F.IF.6. Build a function F.BF.1a F.BF.1 Write a Tasks have a real-world context. Tasks have a real-world context. that models a function that relationship describes a Tasks may involve linear between two relationship between functions, quadratic functions and quantities two quantities. ★ exponential functions. a. Determine an explicit expression, a recursive process, or steps for calculation from a context. Build new F.BF.3 F.BF.3 Identify the Identifying the effect on the graph Tasks may involve polynomial, functions from effect on the graph of of replacing exponential, logarithmic and existing replacing f(x) by for specific values of k (both trigonometric functions. f(x) + k, k f(x), f(kx), functions. positive and negative) is limited to and linear and quadratic functions. Tasks may involve recognizing even for specific f(x + k) and odd functions.
of functions. Analyze functions using different representations F.IF.9 F.IF.9 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). Tasks are limited to linear functions, quadratic functions, square root functions, cube root functions, piecewise-defined functions (including step functions absolute value functions) and exponential functions with domains in the integers. The functions listed here are the same as those listed in the Algebra II column for Standards F.IF.4 and F.IF.6. Tasks may involve polynomial, exponential, logarithmic, and trigonometric functions. The functions listed here are the same as those listed in the Algebra II column for Standards F.IF.4 and F.IF.6. Build a function that models a relationship between two quantities F.BF.1a F.BF.1 Write a function that describes a relationship between two quantities. ★ a. Determine an explicit expression, a recursive process, or steps for calculation from a context. Tasks have a real-world context. Tasks have a real-world context. Tasks may involve linear functions, quadratic functions and exponential functions. Build new functions from existing functions. F.BF.3 F.BF.3 Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific Identifying the effect on the graph of replacing for specific values of k (both positive and negative) is limited to linear and quadratic functions. Tasks may involve polynomial, exponential, logarithmic and trigonometric functions. Tasks may involve recognizing even and odd functions.