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Young - Algebra and Trigonometry 3/e (Homework)

James Finch

Math - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 11 / 20

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

Last Saved : n/a Saving...  ()

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1 2 3 4 5 6 7 8 9 10 11
–/1 –/1 –/1 –/1 –/8 –/1 –/2 –/2 –/1 –/1 –/1
Total
11/20 (55.0%)

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    Algebra and Trigonometry 3/e by Cynthia Y. Young, published by John Wiley & Sons, Inc. is now a WebAssignPLUS selection. WebAssignPLUS includes a complete on-line version of the text and a variety of interactive study aids. All of these rich resources are linked together in a dynamic and interactive environment for students. Additional links to the eBook and GO Tutorials within each problem are structured to support the way students work and provide them with superior just-in-time learning resources. Also the eBook availability provides students with a significantly less expensive option than the printed version.

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1. –/1 points YoungAT3 3.1.011. My Notes
Question Part
Points
Submissions Used
1
–/1
0/50
Total
–/1
 
Determine whether the relation is a function. Assume that the coordinate pair
(x, y)
 represents the independent variable x and the dependent variable y.
{(0, 1), (1, 0), (9, 1), (−9, 1), (8, 6), (−4, 6)}
    

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2. –/1 points YoungAT3 3.1.045. My Notes
Question Part
Points
Submissions Used
1
–/1
0/50
Total
–/1
 
Evaluate the quantity
f(4) + g(−5)
 given the following functions.
f(x) = 7x − 4
    
g(t) = 8 + t
f(4) + g(−5) =

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3. –/1 points YoungAT3 3.1.091. My Notes
Question Part
Points
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1
–/1
0/50
Total
–/1
 
Find the domain of the given function. Express the domain in interval notation.
f(x) = (x2 − 4)1/2

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4. –/1 points YoungAT3 3.1.099. My Notes
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1
–/1
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–/1
 
Let
f(x) = 2x(x − 5)3 − 72(x − 5)2
 and find the values of x that correspond to
f(x) = 0.
 (Enter your answers as a comma-separated list.)
x =

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5. –/8 points YoungAT3 3.2.034. My Notes
Question Part
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1 2 3 4 5 6 7 8
–/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1
0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50
Total
–/8
 
Consider the following function.
WebAssign Plot
(a) State the domain. (Enter your answer using interval notation.)


(b) State the range. (Enter your answer using interval notation.)


(c) State the x-intervals where the function is increasing, decreasing, or constant. (Enter your answers using interval notation. If an answer does not exist, enter DNE.)
increasing    
decreasing    
constant    


(d) Find f(0). (If an answer does not exist, enter DNE.)


(e) Find f(−2). (If an answer does not exist, enter DNE.)


(f) Find f(2). (Round your answer to one decimal place. If an answer does not exist, enter DNE.)

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6. –/1 points YoungAT3 3.2.081. My Notes
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1
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–/1
 
The Kappa Kappa Gamma sorority decides to order custom-made T-shirts for its Kappa Krush mixer with the Sigma Alpha Epsilon fraternity. If the sorority orders 50 or fewer T-shirts, the cost is $12 per shirt. If it orders more than 50 but less than or equal to 100, the cost is $9 per shirt. If it orders more than 100, the cost is $6 per shirt. Find the cost function
C(x)
 as a function of the number of T-shirts x ordered.
    

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7. –/2 points YoungAT3 3.3.086. My Notes
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1 2
–/1 –/1
0/50 0/50
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–/2
 
Body Surface Area (BSA) is used in physiology and medicine for many clinical purposes. BSA can be modeled by the function
BSA = 
wh
3600
where w is weight in kilograms and h is height in centimeters. Since BSA depends on weight and height, it is often thought of as a function of both weight and height. However, for an individual adult height is generally considered constant; thus BSA can be thought of as a function of weight alone.
(a) If an adult male is
155
 centimeters tall, find his BSA as a function of weight.
BSA =


(b) If he gains
3
 kilograms, find a function that represents his new BSA.
BSA =

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8. –/2 points YoungAT3 3.4.047. My Notes
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1 2
–/1 –/1
0/50 0/50
Total
–/2
 
Evaluate
f(g(4))
 and
g(f(5)),
 if possible. (If the composition function is not defined at the indicated value, enter UNDEFINED.)
f(x) = 
1
x2 − 9
,
    
g(x) = 
x − 9
f(g(4)) =
g(f(5)) =

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9. –/1 points YoungAT3 3.5.084. My Notes
Question Part
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1
–/1
0/50
Total
–/1
 
If
(a, 0)
 is the
x
-intercept of a one-to-one function f, what is the
y
-intercept of the inverse
f −1?

(x, y) = 

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10. –/1 points YoungAT3 3.6.028. My Notes
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1
–/1
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–/1
 
Write an equation that describes the following variation.
y varies inversely with both x and z.
y = 2
 when
x = 4
 and
z = 0.05.
y =

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11. –/1 points YoungAT3 3.6.037. My Notes
Question Part
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1
–/1
0/50
Total
–/1
 
Jason and Valerie both work at Panera Bread and have the following paycheck information for a certain week. Find an equation that shows their wages W varying directly with the number of hours worked H.
W =
Employee Hours Worked Wages
Jason
23
$241.50
Valerie
31
$325.50

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