Hobart & William Smith Colleges Algebra Rational Functions Questions

The following questions focus on solving rational functions. Problems include adding, subtracting, graphing, and the reciprocals/inverses of rational functions. Complete all of the following MULTIPLE CHOICE questions and fill in all written answers with a minimum of 3 sentences.

(10) Boyd Janson “DUIKEN”
x Brook Singleton’s Home Pa X ALG II B 2522: Rational | X
L studypool – Bing
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Lesson 8: Rational Functions Unit Test
ALG II B 2522 Unit 4: Rational Functions
Assessment
10. Simplify the rational expression. State any restrictions on the variable. (1 point)
+1-6
² – 9
O
,t#3,-3
t-3
1 +2
,t*3
t*3.6*-3
1 + 3
.t#3,13-2
11. What is the product in simplest form? State any restrictions on the variable. (1 point)
x2 +5x+6.
x2 + x-12
x+x-2
x+4
0
(x+3)(x-3)
x*-2, x*-4
x-1
(x+3)(x-3)
.x*-2, x*-4,x*1
(r-1Yx+
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(1) Boyd Janson “DUIKEN”
X Brook Singleton’s Home Pa X ALG II B 2522: Rational IX
L studypool – Bing
+ V
_
X
E
0
A https://www.connexus.com/content/chrome/online/lessonViewer.aspx?header=true&idCourse=79475&idUnit=82812&idLesson=861115&page →
1 2
Lesson 8: Rational Functions Unit Test
ALG II B 2522 Unit 4: Rational Functions
Assessment
7.
(1 point)
Describe the vertical asymptote(s) and hole(s) for the graph of y =
x-4
x + 3x +2
O asymptotes: x=-2, 1 and no holes.
O asymptotes: x=2,-1 and hole: x = 4.
O asymptotes: x=-2, -1 and no holes.
O asymptotes: x=-2, -1 and hole: x=4
8.
Find the horizontal asymptote of the graph of y=
-2x +5x+8 (1 point)
8x +6x+5
1
Oy=-
Oy=0
Oy= 1
Ono horizontal asymptote
9. Which of the following is the graph of the rational function? (1 point)
y=
+5x-12
7² – 25
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(1) Boyd Janson “DUIKEN”
X Brook Singleton’s Home Pa X ALG II B 2522: Rational IX
L studypool – Bing
+ V
_
X
E
0
A https://www.connexus.com/content/chrome/online/lessonViewer.aspx?header=true&idCourse=79475&idUnit=82812&idLesson=861115&page →
1 2
Lesson 8: Rational Functions Unit Test
ALG II B 2522 Unit 4: Rational Functions
Assessment
a
(x+3)(x-3)
x*-2, x*-4
x-1
(x+3)(x-3)
.x*-2, x *-4,x=1
(x – 1)(x+2)
(x+3)(x-3)
.x+-2,-4
(x – 1)(x+2)
(x+3)(x-3)
,x-2, x*-4,x+1
x-1
0
12. Which is equivalent to
2x
X-7
x + 7 (1 point)
X
X-7
O x(x-7)
X +7
O x(x-7)
x + 49
O x(x-7)
x? – 49
O x(x-7)
13 What is the difference in simnlest form? (1 noint)
11:32 PM
Sunday
3/15/2020
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?
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(1) Boyd Janson “DUIKEN”
X Brook Singleton’s Home Pa X ALG II B 2522: Rational IX
L studypool – Bing
+ V
_
X
E
0
A https://www.connexus.com/content/chrome/online/lessonViewer.aspx?header=true&idCourse=79475&idUnit=82812&idLesson=861115&page ☆
1 2
Lesson 8: Rational Functions Unit Test
ALG II B 2522 Unit 4: Rational Functions
Assessment
13. What is the difference in simplest form? (1 point)
2n
na + 3n+2
na +5n+6
x+3
1-
Ο Ο Ο Ο
n+3
1
a
» +3
0
> +1
» +3
0
»-1
» +3
14. Simplify the sum.
(1 point)
d-7d+12 +
d²-d-6
da +5d +6
d2 -2d-15
2d2 – 5d + 24
0
(d + 2)(d-5)
2d2 – 13d +24
11:32 PM
Sunday
3/15/2020
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(1) Boyd Janson “DUIKEN”
X Brook Singleton’s Home Pa X ALG II B 2522: Rational IX
L studypool – Bing
+ V
_
X
E
0
A https://www.connexus.com/content/chrome/online/lessonViewer.aspx?header=true&idCourse=79475&idUnit=82812&idLesson=861115&page ☆
1 2
Lesson 8: Rational Functions Unit Test
ALG II B 2522 Unit 4: Rational Functions
Assessment
d² -d-6
d2 – 2d -15
2d2 – 5d +24
O
(d + 2)(d-5)
2d2 – 13d +24
(d +2)(d -5)
2d2 +13d +24
(d+2)(d-5)
2dº +5d + 24
(d+2)(d-5)
15. Simplify the complex fraction (1 point)
n-3
2 +6n +8
n+1
» +2
n-3
(n+4)(n+1)
(n-3)(x+2)
(n+AY» +11
11:32 PM
Sunday
3/15/2020
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