## Reflection: Discourse and Questioning Quiz and Intro to Inverse Functions - Section 2: Intro to Inverse Functions

The concrete demonstration of inverse functions provided in the Celsius/Fahrenheit conversion activity provides a relevant entry point to the more abstract discussion of inverses in their symbolic form. I find that a purposeful line of questioning can help bridge the reasoning gap between these two activities:

• What would you get if you took the 20℃ temperature in Boston and converted it back to Fahrenheit?

• What about if we took the 57.2℉ temperature in Santiago and converted it back to Celsius?

• Will it always be true that each formula ‘undoes’ the work of the other formula?

• Can you think of any other formulas that might act like this?

• What do you think would be a good name for a pair of functions that do this?

• Is it obvious from looking at the Celsius and Fahrenheit formulas that this is going to be the case?

• How can we find or recognize two functions that have this unique characteristic?

What's in a Name?
Discourse and Questioning: What's in a Name?

# Quiz and Intro to Inverse Functions

Unit 5: Rational and Inverse Functions
Lesson 5 of 8

## Big Idea: Working with rational functions is just like working with fractions. Today's quiz will assess your ability to work with rational expressions and equations.

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Standards:
Subject(s):
Math, rational exponents, Algebra, rational expressions, inverse functions, arithmetic with rational expressions, domain, range
90 minutes

### Colleen Werner

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