©Fry Texas A&M University
!
Math 150 Precalculus
Spring 2015
Neatly print first and last names: ________________________________________________
Lecture Time:
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12:40 PM! !
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1:50 PM !
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(Circle one.)
Exam 2
"On my honor, as an Aggie, I have neither given nor received unauthorized aid on this academic work."
__________________________________________________________
Signature of student
My signature in this blank allows my instructor to place my exam in a stack near the front of the
room where I will pick it up on the day they are returned.
________________________________________________________________
Signature of student
1. Write all solutions in the space provided as full credit might not be given
without complete, correct accompanying work, even if the final answer is
correct.
2. Intervals should be stated in interval notation.
3. Intercepts are points so, when requested, state both coordinates.
4. Unnecessary absolute value signs should be removed.
5. You may not discuss the contents of the exam with anyone until the exam is
returned in class.
6. No calculators are allowed.
7. All cell phones must be turned off and placed in your backpack.
8. Continuing to write on the exam after time is called is considered cheating.
©Fry Texas A&M University
!
Math 150 Precalculus
Spring 2015
!
2
(1 point) NEATLY PRINT FIRST AND LAST NAMES: ________________________________
(1 point) LECTURE TIME:
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12:40 PM! !
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1:50 PM !
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PAGE 2 ______________________________________
PAGE 3 ______________________________________
PAGE 4 ______________________________________
PAGE 5 ______________________________________
PAGE 6 ______________________________________
PAGE 7 ______________________________________
PAGE 8 ______________________________________
PAGE 9 ______________________________________
PAGE 10 ______________________________________
TOTAL ______________________________________
(Circle one.)
©Fry Texas A&M University
!
Math 150 Precalculus
1. (5 points) Fully simplify the expression
(
Spring 2015
)
3x + 4 − 1
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2
Which of the following is the best answer (both correct and completely simplified)
a) 3x + 3
b) 3x + 5
c) 3x + 5 − 2 3x + 2
2. (5 points) Solve for y
a)
5x − 8
7 − 6x
b)
x=
6x − 7
8 − 5x
d) 3x + 1− 2 3x
e) None of these
5 + 6x
7 + 8x
e) None of these
7y + 8
5 + 6y
c)
5x + 6
7 + 8x
d)
3
©Fry Texas A&M University
!
Math 150 Precalculus
Spring 2015
!
3. (6 points) Solve x 4 − 3x 2 + 2 = 0 !
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___________________
4. (6 points) Solve x 2 − 4x + 1 = 0 !
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___________________
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©Fry Texas A&M University
!
Math 150 Precalculus
5. (6 points) Solve x(x − 2) > 3 ! !
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___________________
7 − 2x − 1 > −2 . Give your answer in interval notation.
6. (6 points) Solve
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Spring 2015
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!
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_________________________
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©Fry Texas A&M University
!
Math 150 Precalculus
Spring 2015
7. Factor completely
a) (4 points)
b) (4 points)
c) (4 points)
64 + x 3 = ______________________________________
15x 2 + x − 2 = ______________________________________
x 4 − 81 = ______________________________________
8. (2 points) a) If g(x) = −x 4 + 5 , then as x → −∞ , g(x) → __________________
b) (2 points) If h(x) = −x 5 + 7 , then as x → −∞ , h(x) → __________________
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6
©Fry Texas A&M University
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Math 150 Precalculus
Spring 2015
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7
x 2 − 8x + 16
9. f (x) =
9(x 2 − 16)
a) (3 points) List the coordinates of all of the x -intercepts.___________________________
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If there are none, write NONE in the blank provided.
b) (3 points) List the equations of all of the vertical asymptotes.________________________
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If there are none, write NONE in the blank provided.
c) (3 points) List the equations of all of the horizontal asymptotes._______________________
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If there are none, write NONE in the blank provided.
d) (4 points) List the coordinates of all the holes.______________________________
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If there are none, write NONE in the blank provided.
10.
(3 points) g(x) =
a) −∞
!
b) 0
8x 4 − 3
7x 5 − 1
as x → ∞ , g(x) -->
!
8
7
c)
b) 0
11. (3 points) h(x) =
a) −∞
8x 5 − 3
7x 4 − 1
!
e)
∞
f) None of these
∞
f) None of these
as x → ∞ , h(x) -->
!
c)
d) 3
8
7
d) 3
e)
©Fry Texas A&M University
!
Math 150 Precalculus
Spring 2015
!
12. (6 points) There are many quadratic functions with a minimum value of −2 at x = −3 .
Write the equation of the one that intersects the x − axis at x = −5 . State your answer in
general form. ( y = ax 2 + bx + c )
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13. (6 points) Determine the range of the function f (x) = 5x 2 + 5x + 2 _______________
8
©Fry Texas A&M University
!
Math 150 Precalculus
Spring 2015
!
14. (6 points) Perform polynomial long division to simplify
!
2x 3 − 3x 2 − 10x + 15
!=!
x2 − 5
15. (6 points) Solve
1
>9
x2
____________________________________
____________________________________
9
©Fry Texas A&M University
16. (5 points) If tan θ = −
a) −
17.
6 61
61
b) −
!
Math 150 Precalculus
Spring 2015
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5
and cosθ < 0 , then sin θ = ________
6
5 61
61
c)
5 61
61
(5 points) Fully simplify the expression
d)
6 61
61
e) None of these
(x + 4)−1 − 6
(x + 2)−1 − 3
Which of the following is the best answer (both correct and completely simplified)?
a)
x−4
x +1
b) −4
c)
( x + 2 )( 6x + 3)
( 3x + 1)( x + 4 )
d)
6x + 1
x+2
e) None of these
10