Statement - College Algebra - Exam, Exams of Algebra

These are the notes of Exam of College Algebra and its key important points are: Statement, Function, Graph, Range, Function is Increasing, Minimum Value, Function Values, Statement, Function Graphed, Relative Maximum Value

Typology: Exams

2012/2013

Uploaded on 02/12/2013

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MA 15200 Exam 3A Spring 2012
1
1) Examine the graph of the function. Which statement(s) is(are) true?
A II and III only
B I, II, III, and IV
C I, II, and IV only
D II, III, and IV only
E II and IV only
2) A function f is defined below. Find the function values
( 2) and (4)ff
.
2
3 if 2
( ) if 2 4
1 if 4
xx
f x x x
xx

( 2) 5, (4) 16
( 2) 4, (4) 3
( 2) 4, (4) 16
( 2) 4, (4) 3
( 2) 5, (4) 3
A f f
B f f
C f f
D f f
E f f
3) Which statement about the function graphed below is false?
A The function is increasing on
( 8,8).
B There is a relative minimum at x = 2.
C The function is ‘even’.
D The range of the function is
[ 8, )
.
E There is a relative maximum value of 8.
I The range of the function is .
II There is an x-intercept of 3.
III The function is increasing on .
IV There is a relative minimum value of -1.
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  1. Examine the graph of the function. Which statement(s) is(are) true?

A II and III only B I, II, III, and IV C I, II, and IV only D II, III, and IV only E II and IV only

  1. A function f is defined below. Find the function values f ( 2) and f (4).

2

3 if 2 ( ) if 2 4 1 if 4

x x f x x x x x

A f f B f f C f f D f f E f f

  1. Which statement about the function graphed below is false?

A The function is increasing on( 8,8). B There is a relative minimum at x = 2. C The function is ‘even’. D The range of the function is [ 8, ). E There is a relative maximum value of 8.

I The range of the function is. II There is an x -intercept of 3. III The function is increasing on. IV There is a relative minimum value of -1.

  1. What are the slope and the y -intercept of the line with equation 6 x  11 y  5  0?

slope: 6 , -intercept:^5 11 11 slope: 11 , -intercept:^11 6 5 slope: 6 , -intercept:^5 11 11 slope: 6 , -intercept: 5 11 None of the above.

A y

B y

C y

D y E

  1. The graph shown represents which equation?

  2. Which equation represents a line through (0, 2)and parallel to the line 5 x  3 y  15?

(^3 ) 5 (^5 ) 3 (^5 ) 3 (^5 ) 3 (^3 ) 5

A y x

B y x

C y x

D y x

E y x

2 2 x

  1. Which correctly pair a function with its domain?

I and III only I only II and III only I and II only I, II, and III

A

B

C

D

E

  1. Which choice represents a pair of inverse functions?

2

( ) 2 and ( ) 4 2 4 ( ) 1 and ( ) 5 5 ( ) 2 and ( )^1 1 2 ( ) 2 ( 1) and ( ) ( 2) ( ) 1 and ( ) 2 1 2

A f x x g x x

B f x g x x x C f x g x x x D f x x x g x x E f x g x x x

  1. Lisa opened a savings account at Farm Life Bank and deposited $575 initially. (She made no additional deposits.) If the account earns 2.2% annual interest compounded quarterly, how much had accumulated in the account at the end of 3 ½ years? Round to the nearest cent. (See the formulas on the cover sheet.)

$621. $620. $620. $620. $620.

A

B

C

D

E

12) Which statement is false concerning the graph of the function ( )  13 

x f x ? A place is provided for you to graph the function, if you wish. A The graph will approach, but not touch or cross the x -axis ( x -axis is an asymptote). B The graph will represent an increasing function. C The range of the graph is (0, ).

D The point  2,9is on the graph.

E The y -intercept is 1.

  1. Use the properties of exponents to condense the logarithmic expression below. (Write the expression as a single logarithm whose coefficient is 1. Assume the value of x is positive.

2log 3log 2 1 log( 1) 2 x   x

2

2

2

2

(log )(log8) log( 1)

log 6 1 log(8 ) log 1

log 8 1

log 2 2 1

A x x

B x x C x x

D x x

E x x