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QUARTER 1-
MODULE 3
LESSON 1: INTERCEPTS, ZEROES,
AND ASYMPTOTES OF RATIONAL
FUNCTIONS
ASSESSMENT
MULTIPLE CHOICE. CHOOSE THE LETTER OF
THE BEST ANSWER.
GET READY
IT’S ABOUT TO START…
1. Point/s where the graph of the rational function
intersects the x- or y-axis.
A. range
B. domain
C. intercepts
D. asymptote
2. The function value when x=0.
A. x-intercepts
B. y-intercepts
C. range
D. asymptote
3. The values of x which make the
function zero.
a. Range
b. domain
c. zeroes
d. asymptote
4. The real numbered zeroes are also____of the
graph of the function.
a. x-intercepts
b. y-intercepts
c. range
d. asymptote
5. If the graph of function either increases or
decreases without bound as the x-
values approach a from the right or left, the
line is called
a. vertical asymptote
b. Horizontal asymptote
c. x – axis
d. y -axis
6. The function f(x)=
4𝑥²
𝑥²=8
has no vertical
asymptote because,
a. vertical asymptotes will occur at those
values of x for which the denominator is equal
to zero.
B. √-8 is not a real number
c. 8 is not a perfect square
d. a and b
7. Setting g(x)=0 is the primary step in
determining,
a. domain
b. vertical asymptote
c. Horizontal asymptote
d. Intercept
8. If the degrees of the numerator (n) is less
than the degrees of the denominator (m), y = 0
is
a. vertical asymptote
b. horizontal asymptote
c. zero of the function
d. y - intercept
9. Let n be the degree of the numerator
and m be the degree of the denominator.
If n > m,
A. There is no horizontal asymptote
B. horizontal asymptote is y = 0
C. horizontal asymptote is y =
𝑎
𝑏
D. a and b
10. The zero/es of the function
f(x)=
(𝒙−𝟏𝟎(𝒙+𝟏)
(𝒙+𝟏)(𝒙+𝟐)
is are
A. X = -1, -2
B. x = 1, 2
C. x = -2
D. x = 1
11. The x- and y-intercept
is
a. (2,0), (-2,0) and (0, 4)
b. 2, -2 and 4
c. 2 and 4
d. (2,0), (-2,0)
For numbers 11-14, consider
the function f(x)=
𝒙²− 4
𝒙²−𝟏
with
its graph below.
12. The vertical
asymptotes are
a. -1 and 1
b. -2 and 2
c. Zero of the function
d. y intercept
For numbers 11-14, consider
the function f(x)=
𝒙²− 4
𝒙²−𝟏
with
its graph below.
13.What is the
horizontal asymptote of
the given function?
a. y = -1
b. y = 1
C. y = 2
d. y = -2
For numbers 11-14, consider
the function f(x)=
𝒙²− 4
𝒙²−𝟏
with
its graph below.
14.What are the zero/es of
given function?
A. y= - 2, 2
b. x= 2, -2
c. x= (2,0), and (-2,0)
d. b and c
For numbers 11-14, consider
the function f(x)=
𝒙²− 4
𝒙²−𝟏
with
its graph below.
15. On what interval(s) is
𝑋=10
3𝑋−2
≤ 3 ?
A. ( - ∞,
2
3
) and [1,∞)
B. ( - ∞,
2
5
) or [2,∞)
C. ( - ∞,
2
3
) or [2,∞)
D. ( - ∞,
2
3
) and [2,∞)
~~~End~~~
QUARTER 1
MODULE 3
Assessment:
Answers Key
1. Point/s where the graph of the rational function
intersects the x- or y-axis.
A. range
B. domain
C. intercepts
D. asymptote
2. The function value when x=0.
A. x-intercepts
B. y-intercepts
C. range
D. asymptote
3. The values of x which make the
function zero.
a. Range
b. domain
c. zeroes
d. asymptote
4. The real numbered zeroes are also____of the
graph of the function.
a. x-intercepts
b. y-intercepts
c. range
d. asymptote
5. If the graph of function either increases or
decreases without bound as the x-
values approach a from the right or left, the
line is called
a. vertical asymptote
b. Horizontal asymptote
c. x – axis
d. y -axis
6. The function f(x)= 4x²/x²+8 has no vertical
asymptote because,
a. vertical asymptotes will occur at those
values of x for which the denominator is equal
to zero.
B. √-8 is not a real number
c. 8 is not a perfect square
d. a and b
7. Setting g(x)=0 is the primary step in
determining,
a. domain
b. vertical asymptote
c. Horizontal asymptote
d. Intercept
8. If the degrees of the numerator (n) is less
than the degrees of the denominator (m), y = 0
is
a. vertical asymptote
b. horizontal asymptote
c. zero of the function
d. y - intercept
9. Let n be the degree of the numerator
and m be the degree of the denominator.
If n > m,
A. There is no horizontal asymptote
B. horizontal asymptote is y = 0
C. horizontal asymptote is y = a/b
D. a and b
10. The zero/es of the function
f(x)=(x-1)(x+1)/(x+1)(x+2) is are
A. X = -1, -2
B. x = 1, 2
C. x = -2
D. x = 1
11. The x- and y-intercept
is
a. (2,0), (-2,0) and (0, 4)
b. 2, -2 and 4
c. 2 and 4
d. (2,0), (-2,0)
For numbers 11-14, consider
the function f(x)= x²-4/ x²-1
with its graph below.
12. The vertical
asymptotes are
a. -1 and 1
b. -2 and 2
c. Zero of the function
d. y intercept
For numbers 11-14, consider
the function f(x)= x²-4/ x²-1
with its graph below.
13.What is the
horizontal asymptote of
the given function?
a. y = -1
b. y = 1
C. y = 2
d. y = -2
For numbers 11-14, consider
the function f(x)= x²-4/ x²-1
with its graph below.
14.What are the zero/es of
given function?
A. y= - 2, 2
b. x= 2, -2
c. x= (2,0), and (-2,0)
d. b and c
For numbers 11-14, consider
the function f(x)= x²-4/ x²-1
with its graph below.
15. On what interval(s) is
𝑋=10
3𝑋−2
≤ 3 ?
A. ( - ∞,
2
3
) and [1,∞)
B. ( - ∞,
2
5
) or [2,∞)
C. ( - ∞,
2
3
) or [2,∞)
D. ( - ∞,
2
3
) and [2,∞)
~~~End~~~

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Group 3 QUIZ PT E-tech_031604.pptx

  • 2. LESSON 1: INTERCEPTS, ZEROES, AND ASYMPTOTES OF RATIONAL FUNCTIONS
  • 3. ASSESSMENT MULTIPLE CHOICE. CHOOSE THE LETTER OF THE BEST ANSWER.
  • 5. 1. Point/s where the graph of the rational function intersects the x- or y-axis. A. range B. domain C. intercepts D. asymptote
  • 6. 2. The function value when x=0. A. x-intercepts B. y-intercepts C. range D. asymptote
  • 7. 3. The values of x which make the function zero. a. Range b. domain c. zeroes d. asymptote
  • 8. 4. The real numbered zeroes are also____of the graph of the function. a. x-intercepts b. y-intercepts c. range d. asymptote
  • 9. 5. If the graph of function either increases or decreases without bound as the x- values approach a from the right or left, the line is called a. vertical asymptote b. Horizontal asymptote c. x – axis d. y -axis
  • 10. 6. The function f(x)= 4𝑥² 𝑥²=8 has no vertical asymptote because, a. vertical asymptotes will occur at those values of x for which the denominator is equal to zero. B. √-8 is not a real number c. 8 is not a perfect square d. a and b
  • 11. 7. Setting g(x)=0 is the primary step in determining, a. domain b. vertical asymptote c. Horizontal asymptote d. Intercept
  • 12. 8. If the degrees of the numerator (n) is less than the degrees of the denominator (m), y = 0 is a. vertical asymptote b. horizontal asymptote c. zero of the function d. y - intercept
  • 13. 9. Let n be the degree of the numerator and m be the degree of the denominator. If n > m, A. There is no horizontal asymptote B. horizontal asymptote is y = 0 C. horizontal asymptote is y = 𝑎 𝑏 D. a and b
  • 14. 10. The zero/es of the function f(x)= (𝒙−𝟏𝟎(𝒙+𝟏) (𝒙+𝟏)(𝒙+𝟐) is are A. X = -1, -2 B. x = 1, 2 C. x = -2 D. x = 1
  • 15. 11. The x- and y-intercept is a. (2,0), (-2,0) and (0, 4) b. 2, -2 and 4 c. 2 and 4 d. (2,0), (-2,0) For numbers 11-14, consider the function f(x)= 𝒙²− 4 𝒙²−𝟏 with its graph below.
  • 16. 12. The vertical asymptotes are a. -1 and 1 b. -2 and 2 c. Zero of the function d. y intercept For numbers 11-14, consider the function f(x)= 𝒙²− 4 𝒙²−𝟏 with its graph below.
  • 17. 13.What is the horizontal asymptote of the given function? a. y = -1 b. y = 1 C. y = 2 d. y = -2 For numbers 11-14, consider the function f(x)= 𝒙²− 4 𝒙²−𝟏 with its graph below.
  • 18. 14.What are the zero/es of given function? A. y= - 2, 2 b. x= 2, -2 c. x= (2,0), and (-2,0) d. b and c For numbers 11-14, consider the function f(x)= 𝒙²− 4 𝒙²−𝟏 with its graph below.
  • 19. 15. On what interval(s) is 𝑋=10 3𝑋−2 ≤ 3 ? A. ( - ∞, 2 3 ) and [1,∞) B. ( - ∞, 2 5 ) or [2,∞) C. ( - ∞, 2 3 ) or [2,∞) D. ( - ∞, 2 3 ) and [2,∞)
  • 22. 1. Point/s where the graph of the rational function intersects the x- or y-axis. A. range B. domain C. intercepts D. asymptote
  • 23. 2. The function value when x=0. A. x-intercepts B. y-intercepts C. range D. asymptote
  • 24. 3. The values of x which make the function zero. a. Range b. domain c. zeroes d. asymptote
  • 25. 4. The real numbered zeroes are also____of the graph of the function. a. x-intercepts b. y-intercepts c. range d. asymptote
  • 26. 5. If the graph of function either increases or decreases without bound as the x- values approach a from the right or left, the line is called a. vertical asymptote b. Horizontal asymptote c. x – axis d. y -axis
  • 27. 6. The function f(x)= 4x²/x²+8 has no vertical asymptote because, a. vertical asymptotes will occur at those values of x for which the denominator is equal to zero. B. √-8 is not a real number c. 8 is not a perfect square d. a and b
  • 28. 7. Setting g(x)=0 is the primary step in determining, a. domain b. vertical asymptote c. Horizontal asymptote d. Intercept
  • 29. 8. If the degrees of the numerator (n) is less than the degrees of the denominator (m), y = 0 is a. vertical asymptote b. horizontal asymptote c. zero of the function d. y - intercept
  • 30. 9. Let n be the degree of the numerator and m be the degree of the denominator. If n > m, A. There is no horizontal asymptote B. horizontal asymptote is y = 0 C. horizontal asymptote is y = a/b D. a and b
  • 31. 10. The zero/es of the function f(x)=(x-1)(x+1)/(x+1)(x+2) is are A. X = -1, -2 B. x = 1, 2 C. x = -2 D. x = 1
  • 32. 11. The x- and y-intercept is a. (2,0), (-2,0) and (0, 4) b. 2, -2 and 4 c. 2 and 4 d. (2,0), (-2,0) For numbers 11-14, consider the function f(x)= x²-4/ x²-1 with its graph below.
  • 33. 12. The vertical asymptotes are a. -1 and 1 b. -2 and 2 c. Zero of the function d. y intercept For numbers 11-14, consider the function f(x)= x²-4/ x²-1 with its graph below.
  • 34. 13.What is the horizontal asymptote of the given function? a. y = -1 b. y = 1 C. y = 2 d. y = -2 For numbers 11-14, consider the function f(x)= x²-4/ x²-1 with its graph below.
  • 35. 14.What are the zero/es of given function? A. y= - 2, 2 b. x= 2, -2 c. x= (2,0), and (-2,0) d. b and c For numbers 11-14, consider the function f(x)= x²-4/ x²-1 with its graph below.
  • 36. 15. On what interval(s) is 𝑋=10 3𝑋−2 ≤ 3 ? A. ( - ∞, 2 3 ) and [1,∞) B. ( - ∞, 2 5 ) or [2,∞) C. ( - ∞, 2 3 ) or [2,∞) D. ( - ∞, 2 3 ) and [2,∞)