By the end of this unit, students will be able to:
By the end of this unit, students will be able to:
Understanding Functions:
Target 17: Explain why a relation is or is not a function and represent it in function notation.
Target 18: Evaluate a function at a given input.
This include interpreting a statement given in function notation in the context of a given situation.
Interpret Functions:
Target 19: Interpret and/or compare key features of a function given a table, graph, or verbal description.
This includes intercepts; intervals of increasing/decreasing, positive/negative; max & min; symmetries; and end behavior.
Target 20: Identify the domain, range, and average rate of change of a function given its graph and interpret their meaning in the context of a given situation.
Target 21: Graph functions from their symbolic representation and show key features of the graph.
This includes piecewise functions and includes both graphing by hand and using technology.
Use Various forms of Function Equations:
Target 22: Convert between different equivalent forms of a function.
This includes converting between recursive and explicit forms of sequences.
Target 23: Analyze the effect of translations on functions.
This includes describing the effect of transformations on the graph of 𝑓(𝑥) by 𝑘𝑓(𝑥), 𝑓(𝑥) + 𝑘, 𝑓(𝑥 + 𝑘) for specific values of k(any real number).