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Stewart et al - Algebra and Trigonometry 4/e (Homework)

James Finch

Math - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 28 / 33

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

Last Saved : n/a Saving...  ()

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Question
Points
1 2 3 4 5 6 7 8 9 10 11 12 13 14
0/1 1/1 6/6 6/6 3/3 2/2 1/1 2/3 1/1 4/4 –/1 –/2 1/1 1/1
Total
28/33 (84.8%)

  • Instructions

    Algebra and Trigonometry, 4th edition by James Stewart, Lothar Redlin, and Saleem Watson, published by Cengage Learning, explains concepts simply and clearly, without glossing over difficult points. This text is comprehensive and evenly paced, and provides complete coverage of the function concept, and integrates a significant amount of graphing calculator material to help students develop insight into mathematical ideas. The WebAssign enhancement to this textbook engages students with immediate feedback, rich tutorial content, and an interactive, fully customizable eBook.

    Questions 3-6, and 8-9 have Watch Its.

    Questions 3, 8, and 9 have Master Its.

    Question 1 uses the WebAssign NumberLine tool to graph a set.

    Question 4 uses the WebAssign graphing tool to graph the linear function.

    Question 5 demonstrates interval grading for domain and range, which can grade any canonically equivalent interval and enforce proper notation.

    Question 7 is a Focus on Modeling question.

    Question 11 illustrates vector grading.

    Question 12 shows the matrix tool, which grades the entire matrix and accepts multiple correct answers. Try entering [0,0; 1,0] and [1,0;0,0].

    Question 13 uses the matrix tool, which allows student to define the size of the resulting matrix.

    Question 14 is a Video Example that provides integrated video instruction and a follow up question about the concept that is presented.

    View the complete list of WebAssign questions available for this textbook. 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.

Assignment Submission

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Assignment Scoring

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1. 0/1 points  |  Previous Answers SAlgTrig4 1.1.065. My Notes
Question Part
Points
Submissions Used
1
0/1
11/50
Total
0/1
 
Graph the set.
(−∞, −2) ∪ (7, ∞)
Use the tools to enter your answer.
Created with Raphaël 2.1.0-10-8-6-4-20246810
Created with Raphaël 2.1.0

NO SOLUTION

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2. 1/1 points  |  Previous Answers SAlgTrig4 1.5.018. My Notes
Question Part
Points
Submissions Used
1
1/1
4/50
Total
1/1
 
Evaluate the difference, and write the result in the form
a + bi.
2i − (3 − 2i)
4i−3
Correct: Your answer is correct.
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3. 6/6 points  |  Previous Answers SAlgTrig4 2.1.023.MI. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5 6
1/1 1/1 1/1 1/1 1/1 1/1
1/50 1/50 1/50 1/50 1/50 1/50
Total
6/6
 
Evaluate the function at the indicated values. (If an answer is undefined, enter UNDEFINED.)
f(x) = x2 + 9x
f(0) = 
(0)2+9(0)
Correct: Your answer is correct.
f(3) = 
(3)2+9(3)
Correct: Your answer is correct.
f(−3) = 
(−3)2+9(−3)
Correct: Your answer is correct.
f(a) = 
(a)2+9(a)
Correct: Your answer is correct.
f(−x) = 
(−x)2+9(−x)
Correct: Your answer is correct.
f
1
a
 = 
(1a​)2+9(1a​)
Correct: Your answer is correct.

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4. 6/6 points  |  Previous Answers SAlgTrig4 2.1.073. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5 6
1/1 1/1 1/1 1/1 1/1 1/1
1/50 2/50 1/50 1/50 1/50 1/50
Total
6/6
 
A verbal description of a function is given.
To evaluate f(x), divide the input by 5 and add
4
5
 to the result.
(a) Find an algebraic representation for the function.
f(x) =
x5​+45​


(b) Find a numerical representation for the function.
x f(x)
1
4
6
8


(c) Find a graphical representation for the function.
No Solution
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5. 3/3 points  |  Previous Answers SAlgTrig4 2.3.017. My Notes
Question Part
Points
Submissions Used
1 2 3
1/1 1/1 1/1
2/50 1/50 3/50
Total
3/3
 
A graphing calculator is recommended.

A function f is given.
f(x) = x2 + 8x + 7
(a) Use a graphing calculator to draw the graph of f.

Correct: Your answer is correct.

(b) Find the domain and range of f from the graph. (Enter your answers using interval notation.)
Domain:
(−∞,∞)
Correct: Your answer is correct.

Range:
[−9,∞)
Correct: Your answer is correct.

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6. 2/2 points  |  Previous Answers SAlgTrig4 2.4.009. My Notes
Question Part
Points
Submissions Used
1 2
1/1 1/1
4/50 3/50
Total
2/2
 
The graph of a function is given.
WebAssign Plot
(a) Determine the net change of the function between the indicated points on the graph.
Correct: Your answer is correct.

(b) Determine the average rate of change of the function between the indicated points on the graph.
Correct: Your answer is correct.

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7. 1/1 points  |  Previous Answers SAlgTrig4 2.FoM.001. My Notes
Question Part
Points
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1
1/1
2/50
Total
1/1
 
A rectangular building lot is four times as long as it is wide. Find a function that models its area A in terms of its width w.
A(w) =
4w2
Correct: Your answer is correct.
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8. 2/3 points  |  Previous Answers SAlgTrig4 3.6.069.MI. My Notes
Question Part
Points
Submissions Used
1 2 3
0/1 1/1 1/1
11/50 1/50 5/50
Total
2/3
 
Find the slant asymptote and the vertical asymptote. (If an answer does not exist, enter DNE.)
r(x) = 
x2
x − 1
slant asymptote    
x+.5
Incorrect: Your answer is incorrect.
vertical asymptote     x =
1
Correct: Your answer is correct.

Sketch a graph of the function.

Correct: Your answer is correct.

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9. 1/1 points  |  Previous Answers SAlgTrig4 4.4.032.MI. My Notes
Question Part
Points
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1
1/1
2/50
Total
1/1
 
Use the Laws of Logarithms to expand the expression.
log8(x
y
)
log8​(x)+12​log8​(y)
Correct: Your answer is correct.

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10. 4/4 points  |  Previous Answers SAlgTrig4 6.3.047. My Notes
Question Part
Points
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1 2 3 4
1/1 1/1 1/1 1/1
1/50 1/50 1/50 1/50
Total
4/4
 
The graph of one complete period of a sine curve is given.
WebAssign Plot
(a) Find the amplitude, period, and phase shift. (Assume the absolute value of the phase shift is less than the period.)
amplitude     Correct: Your answer is correct.
period
2π
Correct: Your answer is correct.
phase shift    
0
Correct: Your answer is correct.

(b) Write an equation that represents the curve in the form
y = a sin(k(x − b)).
y =
2sin(x)
Correct: Your answer is correct.

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11. –/1 points SAlgTrig4 9.1.010. My Notes
Question Part
Points
Submissions Used
1
–/1
0/50
Total
–/1
 
Express the vector v with initial point P and terminal point Q in component form. (Assume that each point lies on the gridlines.)
v =
2i+3j

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12. –/2 points SAlgTrig4 11.3.064. My Notes
Question Part
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Submissions Used
1 2
–/1 –/1
0/50 0/50
Total
–/2
 
We have used the Zero-Product Property to solve algebraic equations. Matrices do not have this property. Let O represent the 2 × 2 zero matrix.
O =  
0   0
00
Find 2 × 2 matrices
A ≠ O and B ≠ O such that AB = O.

 		× 
0   6
00
 		= O

Can you find a matrix
A ≠ O such that A2 = O?
 (If an answer does not exist, enter DNE in any single cell)
A =
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13. 1/1 points  |  Previous Answers SAlgTrig4 11.4.009. My Notes
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1
1/1
1/50
Total
1/1
 
Perform the matrix operation. (If not possible, enter IMPOSSIBLE in any cell of the matrix.)
103
−70
 + 
8−6
26

Correct: Your answer is correct.

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14. 1/1 points  |  Previous Answers SAlgTrig4 2.1.VE.002. My Notes
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1
1/1
1/50
Total
1/1
 
Watch the video below then answer the question.

Use function notation and evaluate a function

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