Log

1. The composite of two functions is basically the result of a two-step process where the first step is the first function and the second step is the second function. The functions are linked because the output from the first one serves as the input to the second. Give a non-mathematical example of a two-step process where the output from the first step is the input to the second step. How does your example relate to function composition?

(PLEASE GIVE 4 NON-MATHEMATICAL EXAMPLES AND EXPLAIN EACH ONE)

2. Logarithms sometimes appear to be an abstract mathematical creation with little or no real-world application. In truth, there are many applications of logarithms. We are simply not familiar with them if we have not encountered logarithms before. Choose one of the following applications of logarithms, read about this topic on Internet sites of your choosing, and discuss that application with the class.

 

   Richter scale

    Half-life

    Doubling time of an investment

    Decibels

    pH (acids and bases)

    Google's page rank

    Moore's law

 

There are links in the readings, but if you Google for a particular topic, you can find other information as well. (PLEASE GIVE 2 MATHEMATICAL AND 2 NON MATHEMATICAL EXAMPLES EXPLAINING EACH ONE BASED ON THE CHOICE OF THE APPLICATION).

3. What applications are there for parabolas in real life? Where do we encounter parabolas?

(GIVE 3 NON-MATHEMATICAL EXAMPLES AND EXPLAIN EACH ONE)

4. The domain of a function represents all valid inputs to that function. In the real world, we often have steps in a process where only certain inputs are valid. The range of a function represents all possible outputs from that function. In the real world, we often find situations where we need to understand the universe of possibilities that come out of some process. Can you think of a real world example where only certain inputs (the domain) are valid for a step in some process? (GIVE 2 NON-MATHEMATICAL EXAMPLES AND EXPLAIN EACH ONE).

Can you think of a real world example where knowing the universe of possibilities (the range) is helpful for understanding some process? (GIVE 3 NON-MATHEMATICAL EXAMPLES AND EXPLAIN EACH ONE)