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Section 1.1 : Functions and their Representations




MULTIPLE CHOICE



1. The number of research articles in Physics Review that were written by researchers in the U.S.

from 1983 through 1999 can be approximated by billion dollars (
is time in years since 1983).

Find an appropriate domain of .

a.

b.

c.

d.

e.



ANS: A PTS: 1 DIF: Medium REF: 1.1.1

MSC: Application



2. Based on the following table, find .

x 0 1 2 3

f(x)



a.

b.

c.

d.

, e.


ANS: C PTS: 1 DIF: Easy REF: 1.1.3

MSC: Skill



3. Use the graph of the function f to find .




a.

b.

c.

d.

e.


ANS: A PTS: 1 DIF: Easy REF: 1.1.7a

MSC: Concept



4. Use the graph of the function f to find .

, a.

b.

c.

d.

e.


ANS: B PTS: 1 DIF: Easy REF: 1.1.7b

MSC: Concept



5. Graph shows the number of sports utility vehicles sold in the United States. represents
sales in year in thousands of vehicles. Find .

, a.

b.

c.

d.

e.


ANS: D PTS: 1 DIF: Medium REF: 1.1.8a

MSC: Concept



6. Let f be the function defined by f (x) = 7x + 8.



Find f (6), f ( ), f (a), f ( ), and f (a + 6).

a. f (6) = 49, f ( ) = –33, f (a) = 7a + 8, f( )=



b. f (6) = 50, f ( ) = –34, f (a) = 7a + 8, f( ) = 1, f (a + 6) = 7a + 8