Properties of Functions Assignment
Krishnasai, Claire, Sai, and Daniel
3 things about functions
- A function relates an input to an output.
- A function can never have the same x-value in the set.
- The function must work for every possible input value.
Composition of functions
"Function Composition" is applying one function to the results of another.
- f(x) - g(x)
It is written like this: g(f(x)).
Real life example #2 - Linear function
You can rent an electricity generator for $4.80 per hour plus $100.00 for a full tank of petrol (Let y represent the cost of using the generator. Let x represent the hours.) The cost is $4.80 per hour plus $100.00 for a the petrol tank (y=100.00+4.80x). When graphed, this function creates a line thus making it an example of a linear function.
Real life example #3 - Logarithmic function
- Exponential: y=a^x
- Logarithmic: y=log(x)
The example that corresponds to the graph is population growth. An initial number of bacteria presented in a culture is 10000. This number doubles every 30 minutes. This is an example of a logarithmic function.