Key for Worksheets 6 and 7

2. a. -1, 4
b.
NOTE: Dotted graphs are part of the factored equation
above. The solid line and curve are the graph
of y = f(x).
c. a
d. -1
3. f and 9 are inverse functions.
1
4. g'(x) = '0. .'\
5. a. 1, 2; 2, 3
1 1
b"s'6
Worksheet 6
1. a. x = a, c. g, k
b. x=h
c. x = b, d, f, h :S x :S i, x = j, k, m
d. (b, f), U, k), (m, 00)
e. ( -00, b), (f, h), (i, j), (k, m)
f. x = f, h :S x :S i, x = k
g. x = f
h. x = b. h :S x :S i, x = j, x = m
i. none
j. (d, e), (I. n)
k. (-00, d). (e, h), U, /), (n, 00)
I. X = d, e, I, n
m. y = O
n. x = h
2. x = b, h, i, j
3. x = b, d, e, h s x sj, x = " n
4.
@ Addison-Wesley Publishing Company. All rights reserved.
Elements of Calculus
227

Worksheet 7
1.
2.
3.
4. a. origin,
b. O
c. O
d. :tSa
e. :t2a. O
I. (2a, 6a,
-f(x)
Worksheet 8
1. a.
b.
228 Elements of Calculus @ Addison-Wesley Publishing Company. All rights reserved.