1. Apply the appropriate transformations to graph the following functions by hand, (not by
plotting):
a) y = (x - 1)3
b) y = x -21
c) y =lVX – 11
d) y=x+2
2. The graph off is given.
(a) Why f is one-to-one?
What are the domain and range of f-1?
(c) What is the value of f-1 (2)?
(d) Estimate the value of f-1 (0)?
3. Determine whether each of the following functions is one-to-one.
<
x
1
Tis
2
20
3
3.6
4
5.3
5
2.8
6
2.0
(X)
b) g(x) = 1/x
4. Find the exact value of each expression.
a) logs 125
b) log2 6 - logz 15 + logz 20