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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
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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
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
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.
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
The graph shown represents which equation?
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
I and III only I only II and III only I and II only I, II, and III
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
$621. $620. $620. $620. $620.
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, ).
E The y -intercept is 1.
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