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Inverses of Functions – Part 1. Lesson 2.7. What is the inverse of a function?. The relation that results when the input and the output are switched. x switches with y Domain switches with range. Finding Inverses of a Table of Values: Example #2. is shown below. Find . 1. 3. 5.
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Inverses of Functions – Part 1 Lesson 2.7
What is the inverse of a function? • The relation that results when the input and the output are switched. • x switches with y • Domain switches with range
Finding Inverses of a Table of Values:Example #2 is shown below. Find . 1 3 5 7 0 1 2 3
Finding Inverses of Ordered Pairs:Example #1 “the inverse of f of x”. . Find . REMINDER: Thdoes not mean negative numbers or exponents!! Domain : Range :
Finding Inverses of Graphs:Example #3 • Find the inverse of the function graphed below Process: Find at least 5 different points on the graph (include endpoints and vertices) Write down coordinates. Switchand . Graph new points.
Domain and Range of InversesExample #3 (contd.) Process: Find domain and range of original function. Switch domain and range to get domain and range of inverse. REMINDER: Domain is STILL and range is STILL