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(Solved) 2/7/2016 NS116 Unit 2b Assignment Mandie AdlerMOL NS116 (6


I need help with this assignment If possible. This is kind of a big one but maybe be easy for you. I particularly need   8 & 9 and 17-30 Please see attached


2/7/2016

 


 

NS116 ­ Unit 2b Assignment

 

Mandie Adler­MOL

 

NS116 (6 Week), section XM1A, Winter 2016

 

Instructor: Linda Desjardines

 


 

WebAssign

 

NS116 ­ Unit 2b Assignment (Homework)

 

Current Score : 5.58 / 20

 


 

Due : Sunday, February 7 2016 11:59 PM CST

 


 

1. 0.66/0.66 points | Previous AnswersAufColAlg8 2.4.003.

 


 

Match the graph with the quadratic function.

 

f(x) = (x ? 3)2

 


 


 


 


 


 


 


 


 


 

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2. 0.66/0.66 points | Previous AnswersAufColAlg8 2.4.007.

 


 

Match the graph with the proper quadratic function.

 

f(x) = (x + 1)2 + 4

 


 


 


 


 


 


 


 


 


 

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NS116 ­ Unit 2b Assignment

 


 

3. 0.48/0.66 points | Previous AnswersAufColAlg8 2.4.010.

 


 

Use the method of completing the square to find the standard form of the quadratic function.

 

f(x) = x2 + 6x ? 1

 

y =

 

(x+3)2?10

 


 


 

State the vertex and axis of symmetry of the graph of the function.

 

axis of symmetry

 


 

x=

 


 


 


 

­3

 


 

?3,?10

 

vertex

 


 

(x, y) =

 


 

Sketch the graph.

 


 

Submission Data

 


 


 


 


 


 


 


 

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NS116 ­ Unit 2b Assignment

 


 

4. 0.48/0.66 points | Previous AnswersAufColAlg8 2.4.018.

 


 

Use the method of completing the square to find the standard form of the quadratic function.

 

f(x) = ?2x2 ? 4x + 1

 

y =

 

3?2(x+1)2

 


 


 

State the vertex and axis of symmetry of the graph of the function.

 

axis of symmetry

 


 

x=

 


 


 


 

­1

 


 

?1,3

 

vertex

 


 

(x, y) =

 


 

Sketch the graph.

 


 

Submission Data

 


 


 


 


 


 


 


 

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NS116 ­ Unit 2b Assignment

 


 

5. 0.66/0.66 points | Previous AnswersAufColAlg8 2.4.025.

 


 

Use the vertex formula to determine the vertex of the graph of the function.

 

f(x) = 2x2 ? 3x + 4

 

(x, y) =

 

34,238

 


 


 

Write the function in standard form.

 

f(x) =

 

2(x?34)2+238

 


 


 


 


 


 


 


 

6. 0.33/0.66 points | Previous AnswersAufColAlg8 2.4.039.

 


 

Find the maximum or minimum value of the function.

 

f(x) = ?x2 + 8x + 3

 


 


 

18

 


 


 


 

State whether this value is a maximum or a minimum.

 

minimum

 

maximum

 


 


 


 


 


 


 


 

7. 0.33/0.66 points | Previous AnswersAufColAlg8 2.4.041.

 


 

Find the maximum or minimum value of the function.

 

f(x) = 2x2 + 3x + 1

 


 


 

7/8

 


 


 


 

State whether this value is a maximum or a minimum.

 

minimum

 

maximum

 


 


 


 


 


 


 


 

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8. ?/0.66 pointsAufColAlg8 2.4.070.

 


 

The height in feet of a projectile with an initial velocity of 32 feet per second and an initial height of 128 feet is a function of time in

 

seconds given by

 

h(t) = ?16t2 + 32t + 128.

 

(a) Find the maximum height of the projectile.

 

ft

 

(b) Find the time t when the projectile achieves its maximum height.

 

t =

 


 

sec

 


 

(c) Find the time t when the projectile has a height of 0 feet.

 

t =

 


 

sec

 


 


 


 


 


 


 


 

9. ?/0.66 pointsAufColAlg8 2.4.065.

 


 

A charter bus company has determined that the cost, in dollars, of providing x people a tour is C(x) = 180 + 2.50x. A full tour consists

 

of 72 people. The ticket price per person is $13 plus $0.25 for each unsold ticket.

 

(a) Determine the revenue function.

 

R(x) =

 


 

(b) Determine the profit function.

 

P(x) =

 


 

(c) Determine the company's maximum profit. (Round your answer to two decimal places.)

 

$

 


 


 


 

(d) Determine the number of ticket sales that yields the maximum profit.

 

tickets

 


 


 


 


 


 


 


 

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10.?/0.66 pointsAufColAlg8 2.5.001.

 


 

Consider the point P(2, ?4).

 

(a) Plot the image of the point with respect to the y­axis.

 


 

(b) Plot the image of the point with respect to the x­axis.

 


 

(c) Plot the image of the point with respect to the origin.

 


 

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NS116 ­ Unit 2b Assignment

 


 


 


 


 


 


 


 

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NS116 ­ Unit 2b Assignment

 


 

11.?/0.66 pointsAufColAlg8 2.5.012.

 


 

Sketch a graph that is symmetric to the given graph with respect to the x­axis.

 


 


 


 


 


 


 


 

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NS116 ­ Unit 2b Assignment

 


 

12.0.66/0.66 points | Previous AnswersAufColAlg8 2.5.016.

 


 

Sketch a graph that is symmetric to the given graph with respect to the the origin.

 


 


 


 

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13.0.66/0.66 points | Previous AnswersAufColAlg8 2.5.017.

 


 

Determine whether the graph of the equation is symmetric with respect to the x­axis and y­axis.

 

y = 5x2 ? 3

 

(a) x­axis

 

Yes

 

No

 


 

(b) y­axis

 

Yes

 

No

 


 


 


 


 


 


 


 

14.0.66/0.66 points | Previous AnswersAufColAlg8 2.5.028.

 


 

Determine whether the graph of the equation is symmetric with respect to the origin.

 

y = x3 ? 3x

 

Yes

 

No

 


 


 


 


 


 


 


 

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15.0/0.66 points | Previous AnswersAufColAlg8 2.5.054.

 


 

Consider the following.

 


 

(a) Use the graph of g to sketch the graph of y = g(x + 3) + 1.

 


 


 


 

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(b) Use the graph of g to sketch the graph of y = g(x ? 5) ? 2.

 


 


 


 


 


 


 


 

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16.?/0.66 pointsAufColAlg8 2.5.055.

 


 

Let f be a function such that f(?3) = 2, f(0) = ?3, and f(2) = 0. Give the coordinates of three points on the graphs of each of the

 

following.

 

(a) y = f(x + 1)

 


 

(x, y) =

 


 

(smallest x­value)

 


 

(x, y) =

 


 


 


 

(x, y) =

 


 

(largest x­value)

 

(b) y = f(x) + 2

 


 

(x, y) =

 


 

(smallest x­value)

 


 

(x, y) =

 


 


 


 

(x, y) =

 


 

(largest x­value)

 


 


 


 


 


 


 


 

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17.?/0.66 pointsAufColAlg8 2.5.057.

 


 

Let f be a function such that f(?4) = 4 and f(6) = ?9. Give the coordinates of two points on the graph of each of the following.

 

(a) y = f(?x)

 


 

(x, y) =

 


 

(smaller x­value)

 


 

(x, y) =

 


 

(larger x­value)

 

(b) y = ?f(x)

 


 

(x, y) =

 


 

(smaller x­value)

 


 

(x, y) =

 


 

(larger x­value)

 


 


 


 


 


 


 


 

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18.?/0.66 pointsAufColAlg8 2.5.507.XP.

 


 

Consider the following.

 


 

(a) Use the graph of y = g(x) to sketch the graph of y = g(2x).

 


 

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NS116 ­ Unit 2b Assignment

 


 


 


 

(b) Use the graph of y = g(x) to sketch the graph of y = g

 


 

1

 

x .

 

2

 


 


 


 

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19.?/0.66 pointsAufColAlg8 2.6.001.

 


 

Let f(?2) = 5 and g(?2) = ?9. Find the following.

 

(f + g)(?2)

 


 


 


 


 


 


 


 

20.?/0.66 pointsAufColAlg8 2.6.002.

 


 

Let f(?2) = 3 and g(?2) = ?4. Find the following.

 

(f ? g)(?2)

 


 


 


 


 


 


 


 

21.?/0.66 pointsAufColAlg8 2.6.003.

 


 

Let f(?2) = 6 and g(?2) = ?5. Find the following.

 

(f · g)(?2)

 


 


 


 


 


 


 


 

22.?/0.66 pointsAufColAlg8 2.6.004.

 


 

Let f(?2) = 3 and g(?2) = ?6. Find the following.

 


 


 

f

 

(?2)

 

g

 


 


 


 


 


 

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23.?/0.66 pointsAufColAlg8 2.6.009.

 


 

Use the given functions f and g to find f + g, f ? g, fg, and

 


 

f

 

. State the domain of each. (Enter your answer for the domain in

 

g

 


 

interval notation.)

 

f(x) = x2 ? 2x ? 8, g(x) = x + 2

 


 

f + g =

 


 

domain

 


 

f ? g =

 


 

domain

 


 

fg =

 


 

domain

 


 

f

 

=

 

g

 


 

domain

 


 


 


 


 


 


 


 

24.0/0.66 points | Previous AnswersAufColAlg8 2.6.021.

 


 

Evaluate the indicated function, where f(x) = x2 ? 6x + 4 and g(x) = 5x ? 8.

 

(f + g)(5)

 

17

 


 


 


 


 


 


 


 


 


 

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25.?/0.66 pointsAufColAlg8 2.6.029.

 


 

Evaluate the indicated function, where f(x) = x2 ? 5x + 2 and g(x) = 2x ? 4.

 

(fg)(7)

 


 


 


 


 


 


 


 

26.?/0.66 pointsAufColAlg8 2.6.041.

 


 

Find the difference quotient of the given function.

 

f(x) = 8x2 + 6x ? 3

 


 


 


 


 


 


 


 

27.?/0.66 pointsAufColAlg8 2.6.047.

 


 

Find (g f)(x) and (f g)(x) for the given functions f and g.

 

f(x) = 2x + 4, g(x) = 5x ? 9

 


 

(g f)(x) =

 


 

(f g)(x) =

 


 


 


 


 


 


 


 

28.?/0.66 pointsAufColAlg8 2.6.054.

 


 

Find (g f)(x) and (f g)(x) for the given functions f and g.

 

f(x) =

 


 

x + 8 , g(x) =

 


 

1

 

x

 


 

(g f)(x) =

 


 

(f g)(x) =

 


 


 


 


 


 


 


 

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29.?/0.66 pointsAufColAlg8 2.6.060.MI.

 


 

Evaluate the composite function, where f(x) = 2x + 3, g(x) = x2 ? 5x, and h(x) = 4 ? 3x2.

 

(f g)(3)

 


 


 


 


 


 


 


 


 


 

30.?/0.86 pointsAufColAlg8 2.6.064.

 


 

Evaluate the composite function, where g(x) = x2 ? 4x and h(x) = 7 ? 3x2.

 

(h g)(0)

 


 


 


 


 


 

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