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Section 3.2.1 Inverse Functions

Section 3.2.1 Inverse Functions. Lesson Objective: Students will: Review inverse functions by using the concept of undoing the original operations. Recall that they generate the graph of the inverse by reflecting the original function across the line y = x .

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Section 3.2.1 Inverse Functions

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  1. Section 3.2.1 Inverse Functions

  2. Lesson Objective: Students will: • Review inverse functions by using the concept of undoing the original operations. • Recall that they generate the graph of the inverse by reflecting the original function across the line y = x . • Recall that the inverse is also a function only if its graph passes the vertical line test. • Learn that domains and ranges switch when functions are inverses of each other. • Use “switch and solve” to find the inverse of simple rational functions algebraically.

  3. Vocabulary: Relation Function Vertical Line Test Inverse “Switch and Solve” Function of the form Inverse function of the form

  4. What is the equation of the line that can show the relationship of {(3,6),(5,7),(3,-1)} is not a function? • Let f be the relation {(2,6),(-5,1),(-7,4)} a) Is f a function? Explain. b) Add a fourth point so that f is NOT a function.

  5. Closure How do you tell if an inverse is a function? What line does the inverse reflect across? Find the inverse of

  6. Assignment Pg 148#3-58 to 3-66

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