Georgia HomeroomCRM.FGR.4Families of Functions
Define, build and interpret functions that arise in various contexts by applying knowledge of the characteristics of the different families of functions, and analyze the effects of parameters.
Appears in: Mathematics, High School
Expectations
CRM.FGR.4.1Define a function through maps, sets, equations and graphs using function notation.
CRM.FGR.4.2Identify and sketch by hand the parent graph of functions expressed algebraically and show key characteristics of the graph using technology.
CRM.FGR.4.3Using tables, graphs, and verbal descriptions, interpret the key characteristics of a function.
CRM.FGR.4.4Calculate and interpret the average rate of change of a function over a specified interval. Estimate the rate of change from a graph.
CRM.FGR.4.5Compare characteristics of two functions each represented in a different way.
CRM.FGR.4.6Construct linear and exponential functions, given a graph, a description of a relationship, or two input-output pairs.
CRM.FGR.4.7Construct arithmetic and geometric sequences recursively and explicitly, use them to model situations, and translate between the two forms. Connect linear functions to arithmetic sequences and exponential functions to geometric sequences.
CRM.FGR.4.8Identify the effect on the parent graph of replacing $f(x)$ by $f(x) + k$, $kf(x)$, and $f(x + k)$ for specific values of $k$ (both positive and negative); find the value of $k$ given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology.
Georgia Milestones coverage
No Georgia Milestones blueprint cites this standard.