review for module 1 test - alia criddle maw...
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Review for Module 1 Test
ONLINE MATH 1050 - College Algebra
MODULE 1 TEST
• There are 17 problems on this test
• You have 120 minutes to complete the test. Time starts once you access the test.
• This is an exam. Be academically honest! No notes, no • This is an exam. Be academically honest! No notes, no books, no websites, no helps of any kind.
• You will need to use your graphing calculator on some of the problems. Remember no calculators with CAS.
• Do not have ANY other windows open on your computer – they tend to “freeze” the exam.
6 3 7 8 0
Find the real solutions of the equation.
− − =x x
Problem #1
( ) ( )2
Find the real solutions of the equation.
4 x+1 11 1 6 0+ + + =x
Problem #2
2 1
3 3
Find the real solutions of the equation.
x 3 10 0− − =x
Problem #3
Problem #4Draw a complete graph so that it is symmetric with respect to the origin.
Problem #5
2
List the intercepts and type(s) of symmetry, if any.
9= +y x
Problem #6
2
Determine whether the graph of the equation is symmetric
with respect to the -axis, the -axis, and/or the origin.
1 0+ − =
x y
x y
Problem #72 8Find (2) when ( ) .
3
−=
+
xf f x
x
Problem #8
Find ( 9) when ( ) 6.− = −f f x x
Problem #9Find the domain of the function.
( ) 8 6= +f x x
Problem #10
2
Find the domain of the function.
( )12
=+
xf x
x
Problem #11Find the domain of the function.
( ) 10= −f x x
Problem #12For the given functions and , find the requested function and
state its domain.
( ) 6 3; ( ) 8 4
Find .
= − = −
−
f g
f x x g x x
f g
Problem #13For the given functions and , find the requested function and
state its domain.
( ) 5 1; ( ) 3 2
Find .
= + = −
f g
f x x g x x
f
g
Problem #14Use the graph of the function to find its domain and range,
the intercepts (if any), and any symmetry with respect to
the -axis, the -axis, or the origin.x y
Problem #15
Is this the graph of a function?
Problems #16 and#17
17) For what numbers is ( ) 0?=x f x
Problems #18 and#19
19) What is the domain of ?f
Problems #20 and#21
21) What is the -intercept?y
Problem #22
Problem #23The graph of a function is given. Decide whether it is
even, odd, or neither. Justify your response.
Problem #24The graph of a function is given. Decide whether it is
even, odd, or neither. Justify your response.
Problem #25The graph of a function is given. Decide whether it is
even, odd, or neither. Justify your response.
Problem #26
3
Determine algebraically whether the function
is even, odd, or neither.
( ) 5 3= −f x x
Problem #27
3
Determine algebraically whether the function
is even, odd, or neither.
( ) 4=f x x
Problem #28
4 2
Determine algebraically whether the function
is even, odd, or neither.
( ) 5= − −f x x x
Problem #29
( )
The graph of a function is given. Is this function
increasing. decreasing, or constant on the interval 1,2 ?
Problem #30Use the graph to find the numbers, if any,
at which has a local maximum. What are
the local maxima? Report your answers as
ordered pairs.
f
Problem #31
Find the function that is finally graphed after the following
transformations are applied to the graph of .
The graph is shifted down 6 units,
reflected about the -axis,
=y x
y
and finally shifted right 2 units.
Problem #32
( )Suppose the point 2,4 is on the graph of ( ).
Find a point on the reflection of the graph of
( ) across the -axis.
=
=
y f x
y f x x
Problem #33From a 10-inch by 10-inch piece of metal, squares are cut out of the four
corners so that the sides can then be folded up to make a box. Let represent
the length of the sides of the squares, in inche
x
s, that are cut out. Express the
volume of the box as a function of .x
FINAL WORDS OF ADVICE
• Write and work each problem in a notebook.
• Do a “memory dump” of any important equations or information you’ll need right after you start need right after you start your test
• Double-check each problem before submitting the test
• Relax and best of luck!
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