# Project #31475 - math

It is best to look at this assignment via the attachment.

Be sure to show all of your work.

Use scientific notation to write the approximate value of each number below. Show

5040

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0.111

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0.000099

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Write each value in scientific notation as a whole number.

4.20 x 10-2

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6.67 x 105

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How long would it take for a bolt of lightning to reach our planet, Earth, if it is 3.3 x

1013 kilometers away when its light travels at a rate of 300,000,000 meters per

Solve the following problems dealing with exponential functions on your own. Show

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Find the following values for f(x) if f(x) =5x

: f(2), f(-2), f(-1), f(3).

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Find the following values for h(x) if h(x) =49x

: h(0), h(1/2), h(-1/2), h(-1).

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Graph the following exponential function:

f(x) = -1/2 [1(1/2)]x

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Use the two exponential functions given below and find the points where the two

graphs intersect, or the point of intersection. Show all your work.

10. y =2x

: y =1/2x+2

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Graph xy = 12 and its inverse function. Can both of these equations represent

functions?

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Express the following exponential functions in logarithmic form.

30 = 1

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5-3 = 0.008

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204 = 160,000

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9-1/2 = 1/3

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Express the following logarithmic functions in exponential form.

log4 64 =3

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log0.1 1= 0

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log0.1 10= -1

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2 = log10 100

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Evaluate the following logarithmic functions. Show all your work.

log497

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log9 3

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log3 81

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log4 8

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Graph the following logarithmic function. Determine the domain and range, and

determine if it an increasing or decreasing function. Show all your work.

y = -log1/2 x

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Find the logarithm for the following products to a base of 3. Show all your work.

9 x 3

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729 x 1/9

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1/3 x 1/27

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Find the logarithm for the following quotients, to a base of 3. Show all your work.

81 ÷ 27

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243/27

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27/ 729

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Use the equations below to graph your own exponential and logarithmic functions.

y= -2 x+3

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y= 2 x+3

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y=log(-x+1)

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y=-log(-x)

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y=log(-x)-1

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Use the equations below to draw linear graphs. Use pencil and paper, not a

graphing calculator, and determine the x- and y-intercepts of the graphs.

y=-2x+1

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y=-3x-6

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y=-2x+1

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Use the equations below to draw quadratic graphs. Use pencil and paper, not a

graphing calculator, and determine whether the graph has a minimum or maximum,

as well as what the value is for each graph.

y=x2+2x+4

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y=x2-6x+11

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Use the equations below to draw radical function graphs. Use pencil and paper, not

a graphing calculator, and determine the domain for each set. If there is no domain

limit, write “infinite.”

y=-2√x+4

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y=-√(x-4)-2

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y=4√(x-2)-1

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y= -âˆ›(x+4)+1

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y=-2 + âˆ›x

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Use the equations below to draw piecewise graphs. Use pencil and paper, not a

graphing calculator, and determine the x- and y-intercepts of the graphs.

f(x)={√x2, -3≤ x< 0

{x2, 0≤ x ≥ 2 ________________________________________________________________________

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f(x)={2x, -3≤ x< 0

{1, 0≤ x ≥ 4

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f(x)={x, 0≤ x< 5

{x-1, -2≤ x ≥ 2 ________________________________________________________________________

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Use the equations below to determine multiplicity and end behavior of each

function.

f(x)=-x4+4x3+2x2+x+ 4 ________________________________________________________________________

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f(x)=-x3+x2-x-2 ________________________________________________________________________

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f(x)=-x4-2x2+x

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Use the equations below to graph your own rational functions.

f(x)=- 2_

x-5

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f(x)=  - 3x-5

x+9

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f(x)=- x2-x-12_

x-4

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 Subject Mathematics Due By (Pacific Time) 05/23/2014 12:00 am
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