Functions Worksheet With Answer Key Page 28
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4696
Chapter Two FUNCTIONS
Problems
Table 2.16
11. Figure 2.29 shows y = f (x). Give a formula in terms of
f for the function in Figure 2.30. Your formula should be
x
0
1
2
3
4
5
6
7
of the form y = f (x
h) + k for appropriate constants
f (x)
0
0.5
2
4.5
8
12.5
18
24.5
h and k.
y
Table 2.17
y
10
y = f (x)
10
x
0
1
2
3
4
5
6
7
x
6
6
x
k(x)
1
1.5
3
5.5
9
13.5
19
25.5
6
6
10
y = f (x
h) + k
10
Figure 2.29
Figure 2.30
(a)
x
0
1
2
3
4
5
6
7
h(x)
2
1.5
0
2.5
6
10.5
16
22.5
12. Figure 2.31 shows y = m(r). Each graph in parts (a)–(d)
is a translation of the graph of y = m(r). Give a formula
(b)
for each of these functions in terms of m.
x
0
1
2
3
4
5
6
7
g(x)
0.5
2
4.5
8
12.5
18
24.5
32
y
4
(c)
2
x
0
1
2
3
4
5
6
7
m(r)
2
i(x)
1.5
0
2.5
6
10.5
16
22.5
30
r
4
2
4
6
2
4
15. Tables 2.18 and 2.19 give values of functions v and w.
Given that w(x) = v(x
h) + k, find the constants h
Figure 2.31
and k.
y
y
(a)
(b)
4
4
Table 2.18
Table 2.19
n(r)
p(r)
x
v(x)
x
w(x)
r
r
4
6
4
6
2
11
3
4
4
4
1
17
4
10
y
y
(c)
(d)
0
20
5
13
4
4
1
17
6
10
4
k(r)
2
11
7
4
r
r
6
4
6
w(r)
4
4
In Problems 16–17, let s(t) denote the average weight (in
13. The graph of g(x) contains the point ( 2, 5). Write a
pounds) of a baby at age t months.
formula for a translation of g whose graph contains the
point
16. The weight, V , of a particular baby named Jonah is re-
(a) ( 2, 8)
(b) (0, 5)
lated to the average weight function s(t) by the equation
14. Table 2.16 contains values of f (x). Each function in
V = s(t) + 2.
parts (a)–(c) is a translation of f (x). Find a possible for-
mula for each of these functions in terms of f . For ex-
ample, given the data in Table 2.17, you could say that
Find Jonah’s weight at ages t = 3 and t = 6 months.
k(x) = f (x) + 1.
What can you say about Jonah’s weight in general?
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