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Larson - College Algebra 9/e (Homework)

James Finch

Math - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 7 / 30

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

Last Saved : n/a Saving...  ()

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7/30 (23.3%)

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    Create your course assignments by selecting questions from our bank of end-of-section exercises, as well as enhanced interactive examples with videos.

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1. 1/2 points  |  Previous Answers LarColAlg9 1.8.012. My Notes
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Solve the inequality and graph the solution on the real number line.
x2 ≤ 64
     Correct: Your answer is correct.

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 points LarColAlg9 2.1.008. My Notes
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Estimate the slope of the line.
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3. 4/4 points  |  Previous Answers LarColAlg9 2.1.012. My Notes
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Find the slope and y-intercept (if possible) of the equation of the line. (If an answer is undefined, enter UNDEFINED. Enter NONE if there is no y-intercept.)
y = x − 3
slope    
y-intercept    (x, y) = ( , )

Sketch the line.
No Solution
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4. –/2 points LarColAlg9 2.1.045.MI. My Notes
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Find an equation of the line that passes through the given point and has the indicated slope m.
PointSlope
(−3, 6)        m = −2


Sketch the line.
No Solution
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5. –/2 points LarColAlg9 2.1.056.MI. My Notes
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–/2
 
Find an equation of the line passing through the points.
(8, 7),   (−8, −8)


Sketch the line.

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6. –/3 points LarColAlg9 2.2.031. My Notes
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Evaluate (if possible) the function at each specified value of the independent variable and simplify. (If an answer is undefined, enter UNDEFINED.)
f(x) = 
3x + 1,    x < 0
3x + 6,    x ≥ 0
(a)    
f(−1) =


(b)    
f(0) =


(c)    
f(2) =
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7. –/5 points LarColAlg9 2.2.061. My Notes
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An open box of maximum volume is to be made from a square piece of material 24 centimeters on a side by cutting equal squares from the corners and turning up the sides (see figure).
(a) The table shows the volume V (in cubic centimeters) of the box for various heights x (in centimeters). Use the table to estimate the maximum volume.
cubic centimeters
Height, x 1 2 3 4 5 6
Volume, V 484 800 972 1024 980 864

(b) Plot the points (x, V) from the table in part (a).


Does the relation defined by the ordered pairs represent V as a function of x?
    

(c) If V is a function of x, write the function. (If V is not a function of x, enter NONE.)
V =


Determine the domain of the function.
    
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8. –/5 points LarColAlg9 2.2.515.XP. My Notes
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–/5
 
Complete the table.
g(x) = 
x − 3
 
x 3 4 5 6 7
g(x)
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9. –/1 points LarColAlg9 2.3.022. My Notes
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Find the zeros of the function algebraically. (Enter your answers as a comma-separated list.)
f(x) = 4x3 − 36x2 − x + 9
x =
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10. 2/4 points  |  Previous Answers LarColAlg9 2.4.040. My Notes
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2/4
 
Evaluate the function for the indicated values.
f(x) = 3
x
 + 6
(a)    f(0)
Correct: Your answer is correct.

(b)    f(-2.5)
Incorrect: Your answer is incorrect.

(c)    f(7)
Correct: Your answer is correct.

(d)   
f 
 
4
3

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11. 0/1 points  |  Previous Answers LarColAlg9 2.5.050. My Notes
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Write an equation for the function described by the given characteristics.
The shape of
f(x) = x3,
 but moved eight units to the left, seven units down, and then reflected in the y-axis (in that order)
g(x) =
(x +8)3−7
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