One to one functions and inverses

In this lesson you'll understand what is the inverse of a function. Also, you'll be able to determine the inverse of a function algebraically and graphically (using symmetry). Lastly, you'll understand that it is possible to check whether two functions are inverses of each other using composition.

Learning goals

• Determine which functions have inverses and understand the horizontal line test
• Recognize inverse functions graphically and algebraically
• Prove two functions are inverses using compositions

Resources (10th grade)

• Exercise lists
• * Minimum
• Inverse functions Kuta
• Inverse functions Kuta 2
• Lesson 7 - One to one functions & inverses
• * Extra
• Section 15F from Haese Core HL
• Stewart's Precalculus 2.8
• exs_2-1-65v1_slhl_inverse_functions.pdf
• Videos
• Prof Robbob

Khan:

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