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Stitz and Zeager - PreCalculus 3/e (Homework)

James Finch

Math - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 3 / 45

Due : Sunday, January 27, 2030 00:00 EST

Last Saved : n/a Saving...  ()

Question
Points
1 2 3 4 5 6 7 8 9 10 11 12 13
2/2 –/1 –/2 1/1 –/13 –/1 –/1 –/2 –/2 –/3 –/4 –/12 –/1
Total
3/45 (6.7%)
  • Instructions

    Precalculus, by Stitz and Zeager, is an open source text offering a "functions first" approach to Precalculus and is freely available online. The authors developed the Exercises for this text at a level appropriate for Precalculus students with a goal of broad conceptual understanding and skills needed for success in Calculus. Many questions are multi-part to demonstrate individual mathematical concepts needed to solve the problems. As a result, the problems in the Exercises appear fewer in number than competitors, but upon examination, the problems are well developed for mastery.

    Available Questions in WebAssign are from the end of section Exercises. Many of these items contain multiple parts and are uniquely presented in WebAssign as Capstone questions. These multi-part exercises are offered as single Capstone items or assignable as individual items. This unique feature allows instructors the flexibility to adapt their assignments to best help their students learn.

    A series of videos, some created by Carl Stitz and some by the Brightstorm organization, can be accessed via the Watching link for additional instruction within some of the questions.

    Click here for a list of all of the questions coded in WebAssign.

    Question 1 is an application question that requires the student to write a linear function that models the situation. The second part of the question then requires the student to apply critical thinking and application skills to solve the question.

    Question 2 is a calculus-related "revenue-cost-profit" application of the quadratic function that is solved using algebraic skills presented in the text.

    Question 3 applies the distance formula in a unique way to encourage students to use their critical thinking skills with respect to a point and a line in the Cartesian Coordinate System.

    Question 4 requires the student to apply the concept of average rate of change to a given function.

    Question 5 is a multi-part Capstone problem featuring an absolute value function. This section of Chapter 2 first teaches graphing equations using transformation techniques. Then, graphing is further enhanced by presenting definitions and theorems for finding the zeros, x- and y-intercepts, domain and range, intervals of increasing, decreasing or constant, and for identifying any relative and absolute extrema.

    Questions 6, 7, 8, 9, 10, and 11 are the respective sub-parts of Question 5 offering instructor options for assigning specific concepts as needed for their students' mastery.

    Question 12 is a multi-part Capstone problem featuring a quadratic function. There is a similar question in Chapter 1 that teaches graphing equations in two variables in the Cartesian Coordinate Plane by identifying any intercepts, testing for symmetry, and plotting points. The text masterfully bridges the quadratic general form and the quadratic standard form to enhance students' understanding of the benefits of each form. Note that the authors intentionally use the same quadratics in both Chapter 1 Exercises and Chapter 2 Exercises to further enrich students' learning experiences.

    Question 13 is an end-of-section question, referred to as Check Your Mastery, that require the student to demonstrate mastery of the subject by encompassing multiple skills and techniques presented in the section. Additionally, the Author, Carl Stitz, authored explanatory videos for each Check Your Mastery question, which can be accessed via the Watching link. This demo assignment allows many submissions and allows you to try another version of the same question for practice wherever the problem has randomized values.

    The videos will ask you to create a login to the free resource, Brightstorm, part way through the video. The Brightstorm videos have been specifically chosen to support the concepts being presented in each linked question.

Assignment Submission

For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer.

Assignment Scoring

Your last submission is used for your score.

1. 2/2 points  |  Previous Answers StitzPreCalc3 2.1.032. My Notes
Question Part
Points
Submissions Used
1 2
1/1 1/1
1/50 1/50
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2/2
 
A salesperson is paid $220 per week plus 10% commission on her weekly sales of x dollars. Find a linear function that represents her total weekly pay W in terms of x.
W(x) =
220+.1x
Correct: Your answer is correct.


What must her weekly sales be in order for her to earn $880.00 for the week?
$ Correct: Your answer is correct.
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2. /1 points StitzPreCalc3 2.3.015. My Notes
Question Part
Points
Submissions Used
1
/1
0/50
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/1
 
The International Silver Strings Submarine Band holds a bake sale each year to fund their trip to the National Sasquatch Convention. It has been determined that the cost in dollars of baking x cookies is
C(x) = 0.2x + 24
and that the demand function for their cookies is
p = 14 0.02x.
How many cookies should they bake in order to maximize their profit?
cookies
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3. /2 points StitzPreCalc3 2.1.027. My Notes
Question Part
Points
Submissions Used
1 2
/1 /1
0/50 0/50
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/2
 
Find all of the points on the line
y = 2x + 5
which are 4 units from the point
(1, 7).

(x, y) = 
(smaller x-value)
(x, y) = 
(larger x-value)
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4. 1/1 points  |  Previous Answers StitzPreCalc3 2.1.048. My Notes
Question Part
Points
Submissions Used
1
1/1
2/50
Total
1/1
 
Compute the average rate of change of the given function over the specified interval.
f(x) = 
x + 9
x 4
,   [6, 8]
Correct: Your answer is correct.
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5. /13 points StitzPreCalc3 2.2.022.cap. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5 6 7 8 9 10 11 12 13
/1 /1 /1 /1 /1 /1 /1 /1 /1 /1 /1 /1 /1
0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50
Total
/13
 
Consider the following function.
f(x) = |x + 3|
  • Part 1 - Graphing

    Graph the function using transformations or the definition of absolute value, as appropriate.

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6. /1 points StitzPreCalc3 2.2.022.part1. My Notes
Question Part
Points
Submissions Used
1
/1
0/50
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/1
 
Consider the following function.
f(x) = |x + 1|
Graph the function using transformations or the definition of absolute value, as appropriate.

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7. /1 points StitzPreCalc3 2.2.022.part2. My Notes
Question Part
Points
Submissions Used
1
/1
0/50
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/1
 
Consider the following function.
f(x) = |x + 2|
Find the zeros of the function, if any exist. (If an answer does not exist, enter DNE. Enter your answers as a comma-separated list.)
x = 

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8. /2 points StitzPreCalc3 2.2.022.part3. My Notes
Question Part
Points
Submissions Used
1 2
/1 /1
0/50 0/50
Total
/2
 
Consider the following function.
f(x) = |x + 4|
Find the x- and y-intercepts of the graph, if any exist. (If an answer does not exist, enter DNE.)
x-intercept    
(x, y) = 
y-intercept    
(x, y) = 
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9. /2 points StitzPreCalc3 2.2.022.part4. My Notes
Question Part
Points
Submissions Used
1 2
/1 /1
0/50 0/50
Total
/2
 
Consider the following function.
f(x) = |x + 1|
From the graph, determine the domain and range of the function.
Domain:
    

Range:
    
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10. /3 points StitzPreCalc3 2.2.022.part5. My Notes
Question Part
Points
Submissions Used
1 2 3
/1 /1 /1
0/50 0/50 0/50
Total
/3
 
Consider the following function.
f(x) = |x + 4|
From the graph, list the intervals on which the function is increasing, decreasing, or constant.
Increasing:
    

Decreasing:
    

Constant:
    
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11. /4 points StitzPreCalc3 2.2.022.part6. My Notes
Question Part
Points
Submissions Used
1 2 3 4
/1 /1 /1 /1
0/50 0/50 0/50 0/50
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/4
 
Consider the following function.
f(x) = |x + 2|
From the graph, find the relative and absolute extrema, if they exist. (If an answer does not exist, enter DNE.)
relative minimum    
(x, y) = 
absolute minimum    
(x, y) = 
relative maximum    
(x, y) = 
absolute maximum    
(x, y) = 
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12. /12 points StitzPreCalc3 2.3.003.cap. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5 6 7 8 9 10 11 12
/1 /1 /1 /1 /1 /1 /1 /1 /1 /1 /1 /1
0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50
Total
/12
 
Consider the following quadratic function.
f(x) = x2 2x 8
  • Part 1 - Intercepts

    Find the x- and y-intercepts of the graph, if any exist. (If an answer does not exist, enter DNE.)
    x-intercept    
    (x, y) = 
    (smaller x-value)
    x-intercept    
    (x, y) = 
    (larger x-value)
    y-intercept    
    (x, y) = 
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13. /1 points StitzPreCalc3 2.4.CYM.005. My Notes
Question Part
Points
Submissions Used
1
/1
0/50
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/1
 
Sketch the relation:
R
(x, y) : x2 y < x + 5
.

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