1.	Classify the following relationship as a function or not a function.
{(11, 16), (–3, 16), (3, 16), (10, 16)}	
A)	a function	
B)	not a function	
C)	cannot be determined		
	Ans:  A     Learning Objective:  Determine whether a relation is a function.	

2.	Classify the following relationship as a function or not a function.
{(–7, –17), (–7, 14), (–7, –12), (–7, –1)}	
A)	a function	
B)	not a function	
C)	cannot be determined	
	Ans:  B     Learning Objective:  Determine whether a relation is a function.	

3.	Classify the following relationship as a function or not a function.
{(–6, –16), (11, –15), (–15, –10), (–1, –4), (9, –1)}	
A)	a function	
B)	not a function	
C)	cannot be determined	
	Ans:  A     Learning Objective:  Determine whether a relation is a function.	

4.	Determine if the equation x = y13 is a function.	
A)	a function	
B)	not a function	
C)	cannot be determined	
	Ans:  A     Learning Objective:  Determine whether an equation represents a function.	

5.	Determine if the equation 5x2 + 2y2 = 4 is a function.	
A)	a function	
B)	not a function	
C)	cannot be determined	
	Ans:  B     Learning Objective:  Determine whether an equation represents a function.	

6.	Determine if the equation is a function with independent variable x and dependent variable y.	
A)	a function 	
B)	not a function	
C)	cannot be determined	
	Ans:  B     Learning Objective:  Determine whether an equation represents a function.	

7.	Given the function f(x) = 2x – 1, evaluate f(x + 5).	
A)	2x + 9  	
B)	2x – 9	
C)	2x2 + 9 	
D)	2x + 4	
	Ans:  A     Learning Objective:  Find the value of a function. ; Use function notation.	

8.	Given the function f(x) = x2 – 3x + 2, evaluate f(x) – f(7).	
A)	x2 – 3x + 28	
B)	x2 – 3x – 30	
C)	x2 – 3x – 28	
D)	x – 7	
	Ans:  C     Learning Objective:  Find the value of a function. ; Use function notation.	

9.	Given the function H(x) = 1 – x2, evaluate H(x – 6).	
A)	–5 – x2	
B)	–5 + 12x – x2	
C)	–35 + 12x – x2	
D)	–5 – x	
	Ans:  C     Learning Objective:  Find the value of a function. ; Use function notation.	

10.	Given the function G(x) = 6 – 5x, evaluate G(6x + 3).	
A)	–30x2 + 21x + 18	
B)	–30x2 + 9	
C)	–30x – 21	
D)	–30x – 9	
	Ans:  D     Learning Objective:  Find the value of a function. ; Use function notation.	

11.	Given the function , state the domain in interval notation.	
A)	[9, 	
B)	(, 9)  (9,) 	
C)		
D)	(, –9)  (9,)	
	Ans:  B     Learning Objective:  Determine the domain and range of a function. 	

12.	Given the function , state the domain in interval notation.	
A)	(, –9]  [9,)	
B)	(, –9)  (9,)	
C)	[–9, 9]	
D)	(, –81]  [81,)	
	Ans:  A     Learning Objective:  Determine the domain and range of a function. 	

13.	Given the function , state the domain in interval notation.	
A)	(, 19]	
B)	(19,)	
C)	(, )	
D)	(–, 19)	
	Ans:  D     Learning Objective:  Determine the domain and range of a function. 	

14.	Determine if the equation 8x2 + 18y2 = 17 is a function of x	
Ans:	Not a function	
	Learning Objective:  Determine the domain and range of a function. 	

15.	Given the function , state the domain in interval notation.	
Ans:	[–1, 1]	
	Learning Objective:  Determine the domain and range of a function. 	

16.	A projectile is fired straight up from an initial height of 150 feet, and its height is a function of time, h(t) = –16t2 + 128t + 150 where h is the height in feet and t is the time in second with t = 0 corresponding to the instant it launches.  What is the height 3 seconds after launch?  	
Ans:	390 feet	
	Learning Objective:  Find the value of a function. 	

17.	Use the given graph to evaluate the functional values.
y = r(x) 

a. r(0)      b. r(2)	
Ans:	a. –20   b.  –48	
	Learning Objective:  Find the value of a function. 	

18.	Let and find the values of x that corresponds to f(x) = 0.	
A)		
B)		
C)		
D)		
	Ans:  B     Learning Objective:  Find the value of a function. ; Use function notation.	

19.	Use the vertical line test to determine if the graph below defines a function.
	
Ans:	a function	
	Learning Objective:  Determine whether a relation is a function.	

20.	Use the vertical line test to determine if the graph below defines a function.
	
A)	not a function	
B)	a function	
C)	cannot be determined	
	Ans:  A     Learning Objective:  Determine whether a relation is a function.	

21.	The average temperature in Denver , Colorado , in the spring time is given by the function T(x) = –0.65x2 + 14.5x – 26.8 , where T is the temperature in degrees Fahrenheit and x is the time of day in military time and is restricted to 6 < x < 18 (sunrise to sunset). What is the temperature at 11 A.M.? What is the temperature at 6 P.M.? 	
Ans:	54.05 degrees Fahrenheit at 11 A.M.
23.6 degrees Fahrenheit at 6 P.M.	
	Learning Objective:  Find the value of a function. 	

Test Bank Files