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Name:    Test Chapter6

Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. ( 3 marks each)
A B C D	1.	A function f is increasing on an interval if a. whenever in the interval b. whenever in the interval c. whenever in the interval d. whenever in the interval
A B C D	2.	A function f is decreasing on an interval if a. whenever in the interval b. whenever in the interval c. whenever in the interval d. whenever in the interval
A B C D	3.	A function f has a local maximum value at x = c if a. when x is close to c, on both sides of c b. when x is close to c, on both sides of c c. when x is close to c, on both sides of c d. when x is close to c, on both sides of c
A B C D	4.	A function f has a local minimum value at x = c if a. when x is close to c, on both sides of c b. when x is close to c, on both sides of c c. when x is close to c, on both sides of c d. when x is close to c, on both sides of c
A B C D	5.	A critical number is a. a number c in the domain of a function f such that b. a number c in the domain of a function f such that c. a number c in the domain of a function f such that or does not exist d. either a local maximum point or a local minimum point
A B C D	6.	Let c be a critical number of a continuous function f. Then, f has a local maximum value at x = c provided that a. b. c. changes from positive to negative at x = c d. changes from negative to positive at x = c
A B C D	7.	Let c be a critical number of a continuous function f. Then, f has a local minimum value at x = c provided that a. b. c. changes from positive to negative at x = c d. changes from negative to positive at x = c
A B C D	8.	The graph of a function f is said to be concave upward on an interval if a. it is moving upward on b. it looks like a concave lens on c. it lies above all of its tangents on d. all of the above
A B C D	9.	The graph of a function f is said to be concave downward on an interval if a. it is moving downward on b. it looks like a concave lens on c. it lies below all of its tangents on d. all of the above
A B C D	10.	A point on the graph of a function f is said to be a point of inflection if a. c. the sign of changes at b. the sign of changes at d. both a) and c)
A B C D	11.	If and , f has a. a local minimum at c. a point of inflection at b. a local maximum at d. none of the above
A B C D	12.	If , the graph of f has a. a vertical asymptote at c. a local maximum at b. a horizontal asymptote at d. none of the above
A B C D	13.	If , the graph of f has a. a vertical asymptote at c. a local maximum at b. a horizontal asymptote at d. a slant asymptote at
A B C D	14.	If , the graph of f has a. a vertical asymptote at c. a vertical asymptote at b. a horizontal asymptote at d. a horizontal asymptote at
A B C D	15.	If , the graph of f has a. a vertical asymptote c. a slant asymptote b. a horizontal asymptote d. no asymptote
A B C D	16.	If , the graph of f has a. a vertical asymptote c. a slant asymptote b. a horizontal asymptote d. no asymptote
A B C D	17.	“Optimization” means to determine a. the new and improved solution to a problem b. the best solution to a problem c. the biggest and brightest solution to a problem d. how to get someone else to solve the problem for you
Matching 5 Marks each
		Match each function with the corresponding graph. a. e. b. f. c. g. d. h.
A B C D E F G H	18.
A B C D E F G H	19.
A B C D E F G H	20.
A B C D E F G H	21.
A B C D E F G H	22.
A B C D E F G H	23.
A B C D E F G H	24.
A B C D E F G H	25.	/40
Problem
	26.	A right circular cylinder is inscribed in a sphere of radius 8 m. Determine the maximum possible volume for such a cylinder. /30