Webassign Math 241

Daniel Kevins

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1.0.55/0.55 points |  Previous AnswersWaneAC5 5.4.001.My Notes  |
 
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Sketch the graph of the given function. Check your sketch using technology. HINT [See Example 1.]

f(x) = x2 + 2x + 1
 
Correct: Your answer is correct.

(a) Indicate the x– and y-intercepts. (If an answer does not exist, enter DNE.)

x-intercept    
(x, y) =
leftparen1

  Correct: Your answer is correct. 

rightparen1
y-intercept    
(x, y) =
leftparen1

  Correct: Your answer is correct. 

rightparen1

(b) Indicate any extrema. (If an answer does not exist, enter DNE.)

    Correct: Your answer is correct.     
(x, y) =
leftparen1

  Correct: Your answer is correct. 

rightparen1

(c) Indicate any points of inflection. (If an answer does not exist, enter DNE.)

(x, y) = 

leftparen1

  Correct: Your answer is correct. 

rightparen1

(d) Indicate the behavior near points where the function is not defined.

y → +∞ as x → 0

y → 0 as x → −1

    

y → +∞ as x → −1

y → +∞ as x → 1

Correct: Your answer is correct.

(e) Indicate the behavior at infinity.

y → −∞ as x → ±∞

y → −∞ as x → −∞; y → +∞ as x → +∞

    

y → +∞ as x → −∞; y → −∞ as x → +∞

y → −1 as x → ±∞

y → +∞ as x → ±∞

Correct: Your answer is correct.

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Correct: Your answer is correct.

(a) Indicate the x– and y-intercepts. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.)

x-intercept    
(x, y) =
leftparen1

  Incorrect: Your answer is incorrect. 

rightparen1
x-intercept    
(x, y) =
leftparen1

  Correct: Your answer is correct. 

rightparen1
x-intercept    
(x, y) =
leftparen1

  Incorrect: Your answer is incorrect. 

rightparen1
y-intercept    
(x, y) =
leftparen1

  Correct: Your answer is correct. 

rightparen1

(b) Indicate any extrema. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.)

    Incorrect: Your answer is incorrect.     
(x, y) =
leftparen1

  Incorrect: Your answer is incorrect. 

rightparen1
    Incorrect: Your answer is incorrect.     
(x, y) =
leftparen1

  Incorrect: Your answer is incorrect. 

rightparen1
        
(x, y) =
leftparen1

  

rightparen1
        
(x, y) =
leftparen1

  

rightparen1

(c) Indicate any points of inflection. (If an answer does not exist, enter DNE.)

(x, y) = 

leftparen1

  Correct: Your answer is correct. 

rightparen1

(d) Indicate the behavior near points where the function is not defined.

y → +∞ as x → 0

y → 0 as x → ±6

    

y → +∞ as x → ±6

y → +∞ as x → ±3

Correct: Your answer is correct.

(e) Indicate the behavior at infinity.

y → +∞ as x → ±∞

y → −∞ as x → −∞; y → +∞ as x → +∞

    

y → −∞ as x → ±∞

y → +∞ as x → −∞; y → −∞ as x → +∞

Correct: Your answer is correct.

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Correct: Your answer is correct.

(a) Indicate the x– and y-intercepts. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.)

x-intercept    
(x, y) =
leftparen1

  Incorrect: Your answer is incorrect. 

rightparen1
x-intercept    
(x, y) =
leftparen1

  Correct: Your answer is correct. 

rightparen1
x-intercept    
(x, y) =
leftparen1

  Incorrect: Your answer is incorrect. 

rightparen1
y-intercept    
(x, y) =
leftparen1

  Incorrect: Your answer is incorrect. 

rightparen1

(b) Indicate any extrema. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.)

    Correct: Your answer is correct.     
(x, y) =
leftparen1

  Correct: Your answer is correct. 

rightparen1
    Correct: Your answer is correct.     
(x, y) =
leftparen1

  Correct: Your answer is correct. 

rightparen1

(c) Indicate any points of inflection. (If an answer does not exist, enter DNE.)

(x, y) = 

leftparen1

  Incorrect: Your answer is incorrect. 

rightparen1

(d) Indicate the behavior near points where the function is not defined.

y → +∞ as x → 0

y → 0 as x → ±3

    

y → +∞ as x → ±3

y → +∞ as x → ±1

Correct: Your answer is correct.

(e) Indicate the behavior at infinity.

y → +∞ as x → ±∞

y → −∞ as x → −∞; y → +∞ as x → +∞

    

y → −∞ as x → ±∞

y → +∞ as x → −∞; y → −∞ as x → +∞

Incorrect: Your answer is incorrect.

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(a) Indicate the x– and y-intercepts. (If an answer does not exist, enter DNE.)

x-intercept    
(x, y) =
leftparen1

  

rightparen1
y-intercept    
(x, y) =
leftparen1

  

rightparen1

(b) Indicate any extrema. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.)

        
(x, y) =
leftparen1

  

rightparen1
        
(x, y) =
leftparen1

  

rightparen1

(c) Indicate any points of inflection. (If an answer does not exist, enter DNE.)

(x, y) = 

leftparen1

  

rightparen1

(d) Indicate the behavior near points where the function is not defined.

y → +∞ as x → 0

y → 0 as x → 0

    

y → −∞ as x → 0

y → +∞ as x → 1

(e) Indicate the behavior at infinity.

y → −∞ as x → ±∞

y → −∞ as x → −∞; y → +∞ as x → +∞

    

y → 1 as x → ±∞

y → +∞ as x → −∞; y → −∞ as x → +∞

y → +∞ as x → ±∞

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(a) Indicate the t– and y-intercepts. (If an answer does not exist, enter DNE.)

t-intercept    
(t, y) =
leftparen1

  

rightparen1
y-intercept    
(t, y) =
leftparen1

  

rightparen1

(b) Indicate any extrema. (Order your answers from smallest to largest t. If an answer does not exist, enter DNE.)

        
(t, y) =
leftparen1

  

rightparen1
        
(t, y) =
leftparen1

  

rightparen1
        
(t, y) =
leftparen1

  

rightparen1

(c) Indicate any points of inflection. (If an answer does not exist, enter DNE.)

(t, y) = 

leftparen1

  

rightparen1

(d) Indicate the behavior near points where the function is not defined.

y → +∞ as t → 0

y → −∞ as t → −1+ and as t → 1−. y → +∞ as t → −1− and as t → 1+.

    

y → +∞ as t → −2+ and as t → 2+. y → −∞ as t → −2− and as t → 2−.

y → +∞ as t → −1+ and as t → 1+. y → −∞ as t → −1− and as t → 1−.

y → −∞ as t → −2+ and as t → 2+. y → ∞ as t → −2− and as t → 2−.

(e) Indicate the behavior at infinity.

y → +∞ as t → ±∞

y → −∞ as t → −∞; y → +∞ as t → +∞

    

y → −∞ as t → ±∞

y → +∞ as t → −∞; y → −∞ as t → +∞

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 Correct: Your answer is correct.

+ C

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 Correct: Your answer is correct.

+ C

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 Incorrect: Your answer is incorrect.

+ C

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+ C

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 Correct: Your answer is correct.

+ C

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 Incorrect: Your answer is incorrect.

+ C

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+ C

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 Incorrect: Your answer is incorrect.

+ C

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 Correct: Your answer is correct.

+ C

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 Incorrect: Your answer is incorrect.

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(b) Use the answer to part (a) to estimate the online social group membership midway through 2008.
M(3.5) = [removed] million members

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Daniel Kevins

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