Critical Thinking: Students will analyze and synthesize information to solve problems related to functions and inverses.
Adaptive Perseverance: Students will persist through complex problems involving transformations and inverses.
Communication: Students will articulate their understanding of transformations and inverses through written and verbal explanations.
How do transformations such as translations, reflections, stretches, and compressions alter the graph of a parent function?
What are the steps to find the inverse of a function, and how does it relate to the original function?
How can you determine whether a function is one-to-one and what implications does this have for finding inverses?
Graphing linear equations using slope, intercepts as well as graphing non linear equations.
Testing functions for symmetry and finding their intersection points.
Recognize and explain the Unit Circle and its functions.
CCSS.MATH.CONTENT.HSF.BF.B.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 values of k.
CCSS.MATH.CONTENT.HSF.BF.B.4: Find inverse functions.
CCSS.MATH.CONTENT.HSF.IF.B.4: For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities.
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