1 3. Graph f(x)= x3+4x² - 7x - 10 totes, domain, range). and identify all key characteristics (y-int, local max/mins, behaviours around asymp-

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 35E
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Complete question 3 please
k
2. Consider the function f(x) =
where k is a constant. Determine a possible value of k for each of the following
x²+2x+k'
circumstances. Be sure to provide justification for each value that you choose.
a
(a) Determine k such that there are no vertical asymptotes.
(b) Determine k such that there is only one vertical asymptote.
1
3. Graph f(x) =
x³+4x² - 7x - 10
totes, domain, range).
x-1
4. Graph g(x) =
x³ 3x² 13x + 15
totes, domain, range).
5. Graph h(x)
domain and range.
=
-10
and identify all key characteristics (y-int, local max/mins, behaviours around asymp-
x³ + 2x² - 29x +42
x 2
and identify all key characteristics (y-int, local max/mins, behaviours around asymp-
be sure to find all key characteristics of the resulting graph as well as state the
6. Willy Wonka picks 3 Oompa Loompas to work on filling orders for stores. Umpa Lumpa takes m minutes to fill an order.
Ewmpa Lewmpa takes s - 2 minutes. Greg can fill an order in s + 1 minutes. When Umpa Lumpa and Ewmpa Lewmpa
work together it takes roughly 1 minute and 20 seconds. When Ewmpa Lewmpa and Greg work together, it takes abour
1 minute and 30 seconds.
(a) How long does it take for each person to fill an order?
(b) If all 3 of them worked together, how long would it take to fill one order?
Transcribed Image Text:k 2. Consider the function f(x) = where k is a constant. Determine a possible value of k for each of the following x²+2x+k' circumstances. Be sure to provide justification for each value that you choose. a (a) Determine k such that there are no vertical asymptotes. (b) Determine k such that there is only one vertical asymptote. 1 3. Graph f(x) = x³+4x² - 7x - 10 totes, domain, range). x-1 4. Graph g(x) = x³ 3x² 13x + 15 totes, domain, range). 5. Graph h(x) domain and range. = -10 and identify all key characteristics (y-int, local max/mins, behaviours around asymp- x³ + 2x² - 29x +42 x 2 and identify all key characteristics (y-int, local max/mins, behaviours around asymp- be sure to find all key characteristics of the resulting graph as well as state the 6. Willy Wonka picks 3 Oompa Loompas to work on filling orders for stores. Umpa Lumpa takes m minutes to fill an order. Ewmpa Lewmpa takes s - 2 minutes. Greg can fill an order in s + 1 minutes. When Umpa Lumpa and Ewmpa Lewmpa work together it takes roughly 1 minute and 20 seconds. When Ewmpa Lewmpa and Greg work together, it takes abour 1 minute and 30 seconds. (a) How long does it take for each person to fill an order? (b) If all 3 of them worked together, how long would it take to fill one order?
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