How do functions and formulas represent relationships in the real world, and how can we use them to solve problems?
Critical Thinking: Develop the ability to analyze and interpret functions and formulas within mathematical and real-world contexts.
Adaptive Perseverance: Persist in exploring various functions and formulas to find solutions to complex problems.
Communication: Effectively communicate the understanding of functions and their applications, both orally and in written form.
What distinguishes a function from a general relation, and how can we identify functions in various contexts?
How do we construct and interpret formulas to model real-world situations?
In what ways can altering a function or formula change the outcome in a real-world application?
Students will identify and classify functions versus non-functions from graphs, tables, and equations.
HSF.IF.A.1: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range.
HSF.BF.A.1: Build a function that models a relationship between two quantities.
HSF.LE.A.2: Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs.
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