INVERTIBLE FUNCTIONS 1. In each case, explain or verify that the given function is invertible. Find the inverse function.
A.
m f ( m)
1 2 3 4 5 0.09 2.10 5.60 7.80 9.40
B.
S (t ) = At 3 + K where A and K are constants.
C.
5
G(x)
0 0 10
x
2. The life expec
WORKSHEET 2 - Fall 1995 1. For each graph below of a function f (x), sketch a graph of its derivative f (x): a) b) c)
d)
e)
f)
g)
h)
i)
2. Without using the concept of a limit (and thus derivative), write the equations of all lines through the point (a, a
FUNCTIONS (1.1)
NAME_
1. As you travel from Tucson to Bisbee (94 miles), you pass through Benson. Benson is 40 miles from Tucson. You can assume that you travel at a fairly constant speed. Sketch graphs to represent the functions below. Label the axes and
LINEAR FUNCTIONS 1. The relationship between the tuition, T (in dollars), and the number of credits, c, at a particular college is given by 0c6 100 + 120c T (c ) = 800 + 120(c 6) 6 < c 18 A. What is the tuition for 6 credits? B. If the tuition was $1880,