(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

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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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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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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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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NS116 ­ Unit 2b Assignment

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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NS116 ­ Unit 2b Assignment

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

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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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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NS116 ­ Unit 2b Assignment

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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NS116 ­ Unit 2b Assignment

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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NS116 ­ Unit 2b Assignment

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

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NS116 ­ Unit 2b Assignment

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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NS116 ­ Unit 2b Assignment

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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NS116 ­ Unit 2b Assignment

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

1

x .

2

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NS116 ­ Unit 2b Assignment

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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