Factor Expressions Worksheet

Saad Abdullah MajrashiAssignment Homework 5 due 10/19/2021 at 11:59pm CDT
f21akapshukt0320s002
5. (1 point)
Divide and simplify your answer.
1. (1 point)
Select all expressions that are equivalent to
x−3
x
·
5x x2 − 9
x2 + 3x x + 3
÷
20
5
There may be more than one correct answer.
Answer:
Answer(s) submitted:
−1
5x − 3
1
1
• B. ·
5 x+3
1
• C.
5(x + 3)
−1
• D.
5(x − 3)
•
• A.
(incorrect)
6. (1 point) Consider the function
f (x) =
x−3
.
(−2x + 4)(4x + 9)
Enter the equations of the vertical asymptotes. If there are
no vertical asymptotes, enter none . If there is more than one
vertical asymptote, enter a list of the equations separated by a
comma (e.g., x=20, x=-7).
• E. None of the above
Answer(s) submitted:
•
(incorrect)
Vertical asymptotes:
2. (1 point) Multiply and simplify your answer.
2x + 8y x2 − 4xy
· 2
x
x − 16y2
Enter the equations of the horizontal asymptotes. If there are
no horizontal asymptotes, enter none . If there is more than one
horizontal asymptote, enter a list of the equations separated by
a comma (e.g., y=20, y=-7).
Answer:
Answer(s) submitted:
•
Horizontal asymptotes:
(incorrect)
Answer(s) submitted:
•
•
3. (1 point) Simplify the rational expression.
x2 + 8x + 15
x2 + 11x + 30
(incorrect)
7. (1 point) For the function
Answer:
f (x) =
Answer(s) submitted:
•
x−3
,
(−2x + 4)(2x + 10)
What are the vertical asymptotes? Give a list of the x-values of
the asymptotes separated by commas.
x=
(incorrect)
4. (1 point) Simplify the rational expression.
2x + 6
What is the horizontal asymptote?
y=
x2 + 8x + 15
Answer:
Answer(s) submitted:
Answer(s) submitted:
•
•
•
(incorrect)
(incorrect)
1
8. (1 point) For the function
f (x) =
(8x − 8)
,
(−8x − 6)(9x − 8)
what are the vertical asymptotes? Give a list of the x-values
of the asymptotes separated by commas.
x=
what is the horizontal asymptote?
y=
Answer(s) submitted:
•
•
10. (1 point)
(incorrect)
9. (1 point) Consider the function
Consider the rational function, y = f (x), shown in the graph
given above.
a) Find f (−4) =
b) What are the vertical asymptotes of f (x)?
Note: If there is more than one, list each separated by a comma:
”x=a, x=b”.
Do not include spaces around the equals sign. Type, for example, ”x=1”, not ”x = 1”.
Answer:
c) If you were to continue the graph to the right, the graph
would tend to look like a horizontal line. What is the equation
for the horizontal asymptote?
Answer:
(6x − 7)(−7x − 2)
f (x) =
.
(x + 3)(3x − 7)
What is the vertical asymptote that is furthest left?
x=
What is the vertical asymptote that is furthest right?
x=
What is the horizontal asymptote?
y=
Answer(s) submitted:
Answer(s) submitted:
•
•
•
•
•
•
(incorrect)
(incorrect)
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