Document 19 (6)
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School
Front Range Community College *
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Course
120
Subject
Mathematics
Date
Apr 3, 2024
Type
Pages
9
Uploaded by SuperFangKomodoDragon4
Last Changed: 3/10/24, 1:38 pm
Total time questions were on-screen (all attempts): 343 minutes
Due Date: Thu 3/21/24, 11:59 pm
Score in Gradebook: 63.3/77
Grade is calculated on the best assessment attempt (Attempt 2)
Attempt 2.
Score: 63.3/77
. Submitted 3/10/24, 1:38 pm
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Show Intro and Between-Question Text
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Question 1. Score: 1/2
Evaluating Functions
Use the table to answer the following questions
x
�
0 3 6 9 1
2 1
5 1
8 2
1 2
4 2
7 f(
x
)
�
(
�
)
1
2 3 9 1
8 2
7 2
4 0 1
5 6 2
1 Evaluate f(18)
�
(18)
: f(18)=
�
(18)=
Correct Determine x
�
when f(x)=3
�
(
�
)=3
x=
�
=
Incorrect3 Score: 1/1 0/1
Time spent on this version: 2 minutes.
Had help available: Video
Question 2. Score: 1/2
Evaluating Functions
The Function f(x)
�
(
�
)
is represented below as a graph. Use f(x)
�
(
�
)
to answer the following questions
1234567-1-2-3-4-5-6-71234567-1-2-3-4-5-6-7 Evaluate f(1)
�
(1)
: f(1)=
�
(1)=
Correct Determine x
�
when f(x)=−5
�
(
�
)=-5
x=
�
=
Incorrect2 Score: 1/1 0/1
Time spent on this version: 2 minutes.
Had help available: Video
Question 3. Score: 1/1
Ice Cream
The function C(g)
�
(
�
)
represents the cost to produce g
�
gallons of chocolate chunk ice cream. Interpret the meaning of the statement: C(624)=141
�
(624)=141
. It costs $Correct to produce Correct gallons of chocolate chunk ice cream. Score: 0.5/0.5 0.5/0.5
Time spent on this version: 0.6 minutes.
Had help available: Video
Question 4. Score: 2/2
Credit Card Debt - Application
The function D(t)
�
(
�
)
can be used to approximate the total average credit card debt in a U.S. household (in thousands of dollars) t
�
years after 1995. Interpret the meaning of the statement: D(23)=20.5
�
(23)=20.5
. In the year Correct, the total average credit card debt for a U.S. household will be $Correct. Score: 1/1 1/1
Time spent on this version: 1.7 minutes.
Had help available: Video
Question 5. Score: 2/2
Evaluating Functions
Use the function f(x)=−7x+4
�
(
�
)=-7
�
+4
to answer the following questions
Evaluate f(0)
�
(0)
: f(0)=
�
(0)=
Correct Determine x
�
when f(x)=11
�
(
�
)=11
x=
�
=
Correct
Score: 1/1 1/1
Time spent on this version: 1.3 minutes.
Had help available: Video
Question 6. Score: 1/1
Function Evaluation
Given the function f(x)=4x
2
+3x−7
�
(
�
)=4
�
2+3
�
-7
, evaluate each of the following. f(0)=
�
(0)=
Correct f(3)=
�
(3)=
Correct f(−3)=
�
(-3)=
Correct f(1)=
�
(1)=
Correct f(−2)=
�
(-2)=
Correct Score: 0.2/0.2 0.2/0.2 0.2/0.2 0.2/0.2 0.2/0.2
Time spent on this version: 5 minutes.
Had help available: Video
Question 7. Score: 5/6
Evaluate the following functions.
Write your answers as integers or reduced fractions.
f(x)=3x
2
−
x
�
(
�
)=3
�
2-
�
f(−7)
�
(-7)
= $154$154 Correct g(x)=53x
�
(
�
)=53
�
g(−5)=
�
(-5)=
$-
\
frac{1}{3}$−
13 Correct T(n)=|n|
�
(
�
)=|
�
|
T(−3)
�
(-3)
= $3$3 Correct k(x)=2
x
�
(
�
)=2
�
k(7)=
�
(7)=
$128$128 Correct d(r)=(2r)
3
�
(
�
)=(2
�
)3
d(−4)
�
(-4)
= $64$64 Incorrect
−
512
-512
P(n)=1n
2
�
(
�
)=1
�
2
P(−6)=
�
(-6)=
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$\frac{1}{36}$
136 Correct Score: 1/1 1/1 1/1 1/1 0/1 1/1
Time spent on this version: 15.1 minutes.
Had help available: Video
Question 8. Score: 1.5/4
Function Evaluation, Rule of 4
On the right are four functions, each using one of the function representations we've learned about in this lesson.
Use functions, f(x), g(x), h(x) and p(t)
�
(
�
), �
(
�
), ℎ(
�
) and �
(
�
)
to answer the questions on the left.
Evaluate f(−1)
�
(-1)
f(−1)=
�
(-1)=
Incorrect0 Determine x
�
when f(x)=−1
�
(
�
)=-1
x=
�
=
Incorrect-3 Evaluate g(55)
�
(55)
g(55)=
�
(55)=
Correct Determine x
�
when g(x)=75
�
(
�
)=75
x=
�
=
Incorrect48 Evaluate h(−7)
ℎ
(-7)
h(−7)=
ℎ
(-7)=
Correct Determine x
�
when h(x)=−17
ℎ
(
�
)=-17
x=
�
=
Correct Evaluate p(35)
�
(35)
p(35)=
�
(35)=
Incorrect81 f(x)
�
(
�
)
12345-1-2-3-4-512345-1-2-3-4-5xy g(x)
�
(
�
)
: {(17,16), (34,46), (48,75), (54,23), (55,10), (70,78), (73,55), (75,68), (83,-8), (90,64)} t
�
1
4
2
6 3
5
3
7 3
8
4
4
5
9
7
3
8
5 9
5
p
(
t
)
�
(
�
)
8
6
1
0
7 8
1
2
1 3
5
9
3
8
5
9
8
1
1
1 3
1
h(x)=25x+8
ℎ
(
�
)=25
�
+8
Determine t
�
when p(t)=85
�
(
�
)=85
t=
�
=
Incorrect59 Score: 0/0.5 0/0.5 0.5/0.5 0/0.5 0.5/0.5 0.5/0.5 0/0.5 0/0.5
Time spent on this version: 14.3 minutes.
Had help available: Video
Question 9. Score: 2/4
Finding Inputs and Outputs in a Story Context
You purchase 150 bags of peanuts for 17 dollars and plan to sell them at the yard sale for 85 cents each. Your profit can be determined by the function P(x)=0.85x−17
�
(
�
)=0.85
�
-17
where P
�
represents your profit and x
�
represents the number of bags of peanuts sold. Round your answers to the nearest hundredth as needed.
Calculate P(72)
�
(72)
Complete the following sentence to explain the meaning of your answer. The profit from selling Correct bags of peanuts is Incorrect44.2 dollars. Find x
�
when P(x)=51
�
(
�
)=51
Complete the following sentence to explain the meaning of your answer. The profit from selling Incorrect80 bags of peanuts is Correct dollars. Score: 1/1 0/1 0/1 1/1
Time spent on this version: 2.8 minutes.
Had help available: Video
Question 10. Score: 3/4
Finding Inputs and Outputs in a Story Context
A local bakery charges $11.00 for each cake delivered plus a reservation fee of $25. They deliver a maximum of 90 cakes. Let C(x)
�
(
�
)
represent the total cost from the bakery and x
�
represent the number of cakes delivered. Round your answers to the nearest hundredth as needed.
Calculate C(14)
�
(14)
. Complete the following sentence to explain the meaning of your answer. The cost for having Correct cakes delivered is Correct dollars. Find x
�
when C(x)=157
�
(
�
)=157
Complete the following sentence to explain the meaning of your answer. The cost for having Incorrect cakes delivered is Correct dollars. Score: 1/1 1/1 0/1 1/1
Time spent on this version: 10.6 minutes.
Had help available: Video
Question 11. Score: 5/5
Linear Functions, Determining Slope
Find the slope of the line that passes through the given points. Then determine if the line is increasing, decreasing, horizontal or vertical.
Note:
If the slope does not exist, enter DNE
���
Ordered Pairs
Slope
Behavior
(−3,11)and(−1,15)
(-
3,11)and(-1,15)
m=
�
=
$2$2 Correct Select an answer Increasing Decreasing Horizonal Vertical Correct (12,−9)and(24,−9)
(12,-
9)and(24,-9)
m=
�
=
$0$0 Correct Select an answer Increasing Decreasing Horizonal Vertical Correct (14,5)and(26,41)
(14,5)an
d(26,41)
m=
�
=
$3$3 Correct Select an answer Increasing Decreasing Horizonal Vertical Correct (8,−9)and(15,−37)
(8,-
9)and(15,-37)
m=
�
=
$-
4$−4 Correct Select an answer Increasing Decreasing
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Horizonal Vertical Correct (5,−1)and(5,3)
(5,-
1)and(5,3)
m=
�
=
$\text{DNE}$DN
E Correct Select an answer Increasing Decreasing Horizonal Vertical Correct Score: 0.5/0.5 0.5/0.5 0.5/0.5 0.5/0.5 0.5/0.5 0.5/0.5 0.5/0.5 0.5/0.5 0.5/0.5 0.5/0.5
Time spent on this version: 5.3 minutes.
Had help available: Video
Question 12. Score: 5.5/6
Characteristics of Linear Functions
Complete the table below. Function
Rate of Change
Initial Value
Behavior
f(x)=−3x+9
�
(
�
)=-
3
�
+9
Correct Correct Select an answer Horizontal Increasing Vertical Decreasing Correct V(t)=−9+6t
�
(
�
)=-
9+6
�
Correct Correct Select an answer Horizontal Increasing Decreasing Vertical Correct
r(a)=−10a
�
(
�
)=-10
�
Correct Incorrect Select an answer Vertical Horizontal Decreasing Increasing Correct C(w)=4
�
(
�
)=4
Correct Correct Select an answer Increasing Decreasing Vertical Horizontal Correct Score: 0.5/0.5 0.5/0.5 0.5/0.5 0.5/0.5 0.5/0.5 0.5/0.5 0.5/0.5 0/0.5 0.5/0.5 0.5/0.5 0.5/0.5 0.5/0.5
Time spent on this version: 5.5 minutes.
Question 13. Score: 1/1
Linear Application
In the year 1984, an investment was worth $29000. In the year 1989, this investment was worth $34000. The value of this investment is Select an answer decreasing increasing Correct at a rate of Correct Select an answer dollars per year dollars years thousand dollars
Correct
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