1) a) Give an example of two quantities who are not likely represented by a function and explain why (make sure your explanation uses the definition of a function).
b) Give an example of two quantities who are likely represented by a function and explain why (again use the definition in you explanation).
c) What could the practical domain and range of your function from part (b) be? Justify you choice.
d) Is it likely that the function from part (b) has an inverse? Why or why not?
2) An invertible function f (x) is defined in the table below, and the graph of a function g is also given.
| x |
f(x) |
| 0 |
-2 |
| 2 |
0 |
| 1 |
2 |
| -1 |
1 |
| 3 |
-1
|
a) Evaluate (f o f-1)(2).
b) Evaluate (g o f-1)( -1).
c) Evaluate (f-1 o f-1)(0).
d) Evaluate (f o g o f-1)(1).
e) Find a value of x satisfying 2 = (g o f)(x).