Stewart_Essential Calc_2ET ch01sec01

MULTIPLE CHOICE

	1.	The graph of the function  is given. State the value of  .

a.		
b.		
c.		
d.		
e.		

ANS:	E	PTS:	1	DIF:	Medium	REF:	1.1.3b
MSC:	Bimodal	NOT:	Section 1.1

	2.	The graphs of  and  are given. For what values of x is ?

a.	4, 2	
b.		
c.	0	
d.		
e.	–4, 12	

ANS:	E	PTS:	1	DIF:	Medium	REF:	1.1.4b
MSC:	Bimodal	NOT:	Section 1.1

	3.	The graph shown gives the weight of a certain person as a function of age. Find the age at which the person started an exercise program.

a.	35	
b.	38	
c.	20	
d.	54	
e.		

ANS:	E	PTS:	1	DIF:	Medium	REF:	1.1.9
MSC:	Bimodal	NOT:	Section 1.1

	4.	If , find and simplify , where .

a.		
b.		
c.		
d.		

ANS:	A	PTS:	1	DIF:	Easy	REF:	1.1.21
MSC:	Bimodal	NOT:	Section 1.1

	5.	If , evaluate the difference quotient .

a.	h	
b.		
c.		
d.		
e.	none of these	

ANS:	E	PTS:	1	DIF:	Medium	REF:	1.1.22
MSC:	Bimodal	NOT:	Section 1.1

	6.	Find the domain of the function.

a.	(–¥, 0) È (0, ¥)	
b.	(–¥, 0)
	
c.	
	
d.	

ANS:	A	PTS:	1	DIF:	Easy	REF:	1.1.25
MSC:	Bimodal	NOT:	Section 1.1

	7.	Find the domain and sketch the graph of the function. What is its range?

f (x) = 

a.	D: (–, ); R: [0, ) 
	c.	D: (–, ); R: (–, 3]
	
b.	D: (–, ); R: (–, 0]  (3, )
	d.	D: (–, ); R: [–1, ) 

ANS:	C	PTS:	1	DIF:	Medium	REF:	1.1.39
MSC:	Bimodal	NOT:	Section 1.1

	8.	Find an expression for the function  whose graph is the bottom half of the parabola 
.

a.		
b.		
c.		
d.		
e.		

ANS:	C	PTS:	1	DIF:	Medium	REF:	1.1.45
MSC:	Bimodal	NOT:	Section 1.1

	9.	A rectangle has perimeter  m. Express the area of the rectangle as a function  of the length  of one of its sides.

a.		
b.		
c.		
d.		
e.		

ANS:	E	PTS:	1	DIF:	Medium	REF:	1.1.47
MSC:	Bimodal	NOT:	Section 1.1

	10.	An open rectangular box with volume   has a square base. Express the surface area of the box as a function  of the length  of a side of the base.

a.		
b.	
	
c.	
	
d.	
	
e.	

ANS:	D	PTS:	1	DIF:	Medium	REF:	1.1.51
MSC:	Bimodal	NOT:	Section 1.1

	11.	Determine whether the function whose graph is given  is even, odd, or neither. 

a.	Even	
b.	Neither	
c.	Odd	

ANS:	A	PTS:	1	DIF:	Medium	REF:	1.1.55
MSC:	Bimodal	NOT:	Section 1.1

	12.	If the point  is on the graph of an even function, what other point must also be on the graph? 

a.		
b.		
c.		
d.		
e.	None of these	

ANS:	A	PTS:	1	DIF:	Medium	REF:	1.1.57a
MSC:	Bimodal	NOT:	Section 1.1

	13.	Which of the following graphs is neither even nor odd? 

a.		
b.		
c.		

ANS:	C	PTS:	1	DIF:	Medium	REF:	1.1.60
MSC:	Bimodal	NOT:	Section 1.1

NUMERIC RESPONSE

	1.	The graphs of  and  are given.
Find the values of  and .

ANS:	, 

PTS:	1	DIF:	Medium	REF:	1.1.4a	
MSC:	Numerical Response		NOT:	Section 1.1

	2.	Find the domain of the function.

ANS:	

PTS:	1	DIF:	Medium	REF:	1.1.26	
MSC:	Numerical Response		NOT:	Section 1.1

	3.	Find the domain of the function.

ANS:	

PTS:	1	DIF:	Medium	REF:	1.1.27	
MSC:	Numerical Response		NOT:	Section 1.1

	4.	Determine whether  f  is even, odd, or neither.

ANS:	even

PTS:	1	DIF:	Medium	REF:	1.1.56	
MSC:	Numerical Response		NOT:	Section 1.1

SHORT ANSWER

	1.	Refer to the graph of the function  f  in the following figure.

a. Find f (1).
b. Find the value of x for which (i)  and (ii) .
c. Find the domain and range of f.

ANS:	
a. 0
b. (i) 2 (ii) 1, 3
c. D: [1, 4], R: [–3, 1]

PTS:	1	DIF:	Easy	REF:	1.1.3a	MSC:	Short Answer
NOT:	Section 1.1

	2.	If f (x) = 

find f (–4), f (0), and f (1).

ANS:	
f (–4) = 19, f (0) = 3, f (1) = 1.

PTS:	1	DIF:	Easy	REF:	1.1.19	MSC:	Short Answer
NOT:	Section 1.1

	3.	Determine whether the function is even, odd, or neither.

ANS:	
Odd

PTS:	1	DIF:	Medium	REF:	1.1.63	MSC:	Short Answer
NOT:	Section 1.1