
1.8 Practice (select problems)
Presentation
•
Mathematics
•
11th Grade
•
Practice Problem
•
Medium
David Granda
Used 8+ times
FREE Resource
14 Slides • 26 Questions
1
1.8 Rational Functions and Zeros
HW: PRACTICE #1-13
Select Problems**
2
Multiple Choice
How do you find Zeros of a Rational Function?
Non-Removable
Factors in the Numerator
Non-Removable
Factors in the Denominator
Removable
Factors in the Numerator
Removable
Factors in the
Denominator
Plug in
x=0
3
Math Response
Factor f(x)
4
Multiple Choice
Find the Zeros of f(x)
x=1
x=9
x=-1
x=3
x=-3
5
6
Multiple Choice
Find the Zeros of d(t).
t=-3
t=1
t=3
t=4
No Zeros
7
8
Find the Zeros of the Function
9
Math Response
What is the Zero of f(x).
(type the x value only as your answer)
10
11
Math Response
Factor the function, c(n)
(type factored function)
12
13
Multiple Choice
What are the Zeros of c(n) ?
n=5
n=-5
n=0
n=1
No Zeros
14
15
Math Response
Factor g(x), completely
(type factored function)
16
Multiple Choice
a. What is the Domain?
x=5
x=4
x=2
x=−2
x=−5
x=2
x=−4
x=4
All Real
Numbers
17
18
Multiple Choice
How do you find Holes of a Rational Function?
Non-Removable
Factors in the Numerator
Non-Removable
Factors in the Denominator
Removable
Factors in the
Denominator
and Numerator
Plug in
x=0
19
Multiple Choice
b. What is the x-value of the Hole of g(x)?
x=-5
x=2
x=-2
x=0
No Holes
20
21
Multiple Choice
c. What is the Zero of g(x)?
x = -5
x = 2
No Zeros
22
23
Multiple Choice
How do you find Vertical Asymptotes of a Rational Function?
Non-Removable
Factors in the Numerator
Non-Removable
Factors in the Denominator
Removable
Factors in the Numerator
Removable
Factors in the
Denominator
Plug in
x=0
24
Multiple Choice
d. What is the Vertical Asymptote of g(x)?
x=-2
x=5
x=2
x=0
No Vertical
Asymptote
25
26
Multiple Choice
How do you find Horizontal Asymptotes?
Plug in x=0
Take limit
to infinity
factor the function
Set Denominator
equal to zero
27
Multiple Choice
e. What is the Horizontal Asymptote of g(x)?
y=0
y=-5
y=4
y=1
No Horizontal
Asymptote
28
29
Multiple Choice
How do you find the y-intercept of a Rational Function?
Non-Removable
Factors in the Numerator
Non-Removable
Factors in the Denominator
Removable
Factors in the Numerator
Removable
Factors in the
Denominator
Plug in
x=0
30
Multiple Choice
f. What is the y-intercept of g(x)?
(0, 10)
(0, 4)
(10, 0)
(0, 40)
No y-intercept
31
Complete the Rest of the Practice Problems for 1.8 Practice.
32
33
Match
What does each sign say about the function?
Positive
Negative
Zero
Undefined
Above the
x-axis
Below the
x-axis
x-intercept
Hole
or V. Asymptote
Above the
x-axis
Below the
x-axis
x-intercept
Hole
or V. Asymptote
34
Multiple Choice
What is the Sign on the interval?
−∞<x<−5
Positive
Negative
Undefined
Zero
35
Multiple Choice
What is the Sign on the interval?
x=−5
Positive
Negative
Undefined
Zero
36
Multiple Choice
What is the Sign on the interval?
−5<x<−2
Positive
Negative
Undefined
Zero
37
Multiple Choice
What is the Sign on the interval?
x=−2
Positive
Negative
Undefined
Zero
38
Multiple Choice
What is the Sign on the interval?
−2<x<2
Positive
Negative
Undefined
Zero
39
Multiple Choice
What is the Sign on the interval?
x=2
Positive
Negative
Undefined
Zero
40
Multiple Choice
What is the Sign on the interval?
2<x<∞
Positive
Negative
Undefined
Zero
1.8 Rational Functions and Zeros
HW: PRACTICE #1-13
Select Problems**
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