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Simplify the difference quotients Simplify the difference quotients   and   for the following function. Rationalize the numerator when necessary. -f(x)  = 7x + 1 A)  7h; 7a B)  7; 7 C) 7x - 7h; 7x - 7a D)   7; 7x - 7a and Simplify the difference quotients   and   for the following function. Rationalize the numerator when necessary. -f(x)  = 7x + 1 A)  7h; 7a B)  7; 7 C) 7x - 7h; 7x - 7a D)   7; 7x - 7a for the following function. Rationalize the numerator when necessary. -f(x) = 7x + 1


A) 7h; 7a
B) 7; 7
C) 7x - 7h; 7x - 7a
D) 7; 7x - 7a

E) A) and B)
F) None of the above

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Evaluate or simplify the given expression. -sin(2 sin-1 x)


A)
Evaluate or simplify the given expression. -sin(2 sin-1 x)  A)      B)     C)      D)

B)
Evaluate or simplify the given expression. -sin(2 sin-1 x)  A)      B)     C)      D)
C)
Evaluate or simplify the given expression. -sin(2 sin-1 x)  A)      B)     C)      D)

D)
Evaluate or simplify the given expression. -sin(2 sin-1 x)  A)      B)     C)      D)

E) B) and D)
F) B) and C)

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State the period of the function and graph. -cos 8x State the period of the function and graph. -cos 8x     A)     Period      B)  Period        C)   Period      D)   Period


A)
Period State the period of the function and graph. -cos 8x     A)     Period      B)  Period        C)   Period      D)   Period
State the period of the function and graph. -cos 8x     A)     Period      B)  Period        C)   Period      D)   Period
B)
Period State the period of the function and graph. -cos 8x     A)     Period      B)  Period        C)   Period      D)   Period
State the period of the function and graph. -cos 8x     A)     Period      B)  Period        C)   Period      D)   Period


C)
Period State the period of the function and graph. -cos 8x     A)     Period      B)  Period        C)   Period      D)   Period
State the period of the function and graph. -cos 8x     A)     Period      B)  Period        C)   Period      D)   Period
D)
Period State the period of the function and graph. -cos 8x     A)     Period      B)  Period        C)   Period      D)   Period
State the period of the function and graph. -cos 8x     A)     Period      B)  Period        C)   Period      D)   Period

E) B) and C)
F) All of the above

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Graph the function. -G(x) = Graph the function. -G(x)  =      A)     B)     C)     D)     Graph the function. -G(x)  =      A)     B)     C)     D)


A)
Graph the function. -G(x)  =      A)     B)     C)     D)
B)
Graph the function. -G(x)  =      A)     B)     C)     D)
C)
Graph the function. -G(x)  =      A)     B)     C)     D)
D)
Graph the function. -G(x)  =      A)     B)     C)     D)

E) A) and D)
F) B) and C)

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D

Graph the function. -y = Graph the function. -y =   (x - 2)     A)       B)      C)     D)    (x - 2) Graph the function. -y =   (x - 2)     A)       B)      C)     D)


A)
Graph the function. -y =   (x - 2)     A)       B)      C)     D)

B)
Graph the function. -y =   (x - 2)     A)       B)      C)     D)

C)
Graph the function. -y =   (x - 2)     A)       B)      C)     D)
D)
Graph the function. -y =   (x - 2)     A)       B)      C)     D)

E) All of the above
F) B) and D)

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Solve for the angle θ, where 0 ≤ θ ≤ 2π -sin 2 θ\theta - cos θ\theta = 0


A)
 Solve for the angle θ, where 0 ≤ θ ≤ 2π -sin 2 \theta  - cos  \theta  = 0 A)      B)      C)     D)

B)
 Solve for the angle θ, where 0 ≤ θ ≤ 2π -sin 2 \theta  - cos  \theta  = 0 A)      B)      C)     D)

C)
 Solve for the angle θ, where 0 ≤ θ ≤ 2π -sin 2 \theta  - cos  \theta  = 0 A)      B)      C)     D)
D)
 Solve for the angle θ, where 0 ≤ θ ≤ 2π -sin 2 \theta  - cos  \theta  = 0 A)      B)      C)     D)

E) A) and B)
F) A) and C)

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Solve the problem. -The accompanying figure shows the graph of y = Solve the problem.  -The accompanying figure shows the graph of y =   shifted to a new position. Write the equation for the new graph.     A)  y =   B)  y = x<sup>2</sup> - 6 C)  y = x<sup>2</sup> + 6 D)  y =  shifted to a new position. Write the equation for the new graph. Solve the problem.  -The accompanying figure shows the graph of y =   shifted to a new position. Write the equation for the new graph.     A)  y =   B)  y = x<sup>2</sup> - 6 C)  y = x<sup>2</sup> + 6 D)  y =


A) y = Solve the problem.  -The accompanying figure shows the graph of y =   shifted to a new position. Write the equation for the new graph.     A)  y =   B)  y = x<sup>2</sup> - 6 C)  y = x<sup>2</sup> + 6 D)  y =
B) y = x2 - 6
C) y = x2 + 6
D) y = Solve the problem.  -The accompanying figure shows the graph of y =   shifted to a new position. Write the equation for the new graph.     A)  y =   B)  y = x<sup>2</sup> - 6 C)  y = x<sup>2</sup> + 6 D)  y =

E) None of the above
F) All of the above

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Determine an appropriate viewing window for the given function and use it to display its graph. -Determine an appropriate viewing window for the given function and use it to display its graph. -    A)      B)      C)     D)    Determine an appropriate viewing window for the given function and use it to display its graph. -    A)      B)      C)     D)


A)
Determine an appropriate viewing window for the given function and use it to display its graph. -    A)      B)      C)     D)

B)

Determine an appropriate viewing window for the given function and use it to display its graph. -    A)      B)      C)     D)
C)
Determine an appropriate viewing window for the given function and use it to display its graph. -    A)      B)      C)     D)
D)
Determine an appropriate viewing window for the given function and use it to display its graph. -    A)      B)      C)     D)

E) B) and C)
F) A) and C)

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Graph the function. -f(x) = Graph the function. -f(x)  =      A)      B)      C)     D)    Graph the function. -f(x)  =      A)      B)      C)     D)


A)
Graph the function. -f(x)  =      A)      B)      C)     D)

B)
Graph the function. -f(x)  =      A)      B)      C)     D)

C)
Graph the function. -f(x)  =      A)      B)      C)     D)
D)
Graph the function. -f(x)  =      A)      B)      C)     D)

E) A) and D)
F) C) and D)

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Solve the problem. -The accompanying figure shows the graph of y = - Solve the problem.  -The accompanying figure shows the graph of y = -   shifted to a new position. Write the equation for the new graph.   A)  y = -x<sup>2</sup> - 4 B)  y = -   C) y = -   D)  y = -x<sup>2</sup> + 4 shifted to a new position. Write the equation for the new graph. Solve the problem.  -The accompanying figure shows the graph of y = -   shifted to a new position. Write the equation for the new graph.   A)  y = -x<sup>2</sup> - 4 B)  y = -   C) y = -   D)  y = -x<sup>2</sup> + 4


A) y = -x2 - 4
B) y = - Solve the problem.  -The accompanying figure shows the graph of y = -   shifted to a new position. Write the equation for the new graph.   A)  y = -x<sup>2</sup> - 4 B)  y = -   C) y = -   D)  y = -x<sup>2</sup> + 4
C) y = - Solve the problem.  -The accompanying figure shows the graph of y = -   shifted to a new position. Write the equation for the new graph.   A)  y = -x<sup>2</sup> - 4 B)  y = -   C) y = -   D)  y = -x<sup>2</sup> + 4
D) y = -x2 + 4

E) All of the above
F) A) and B)

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Solve the problem. -A certain radioactive isotope decays at a rate of 2% per 100 years. If t represents time in years and y represents the amount of the isotope left then the equation for the situation is Solve the problem. -A certain radioactive isotope decays at a rate of 2% per 100 years. If t represents time in years and y represents the amount of the isotope left then the equation for the situation is   In how many years will there be 86% of the isotope left? A)  236 yr B) 1400 yr C)   700 yr D)  754 yr In how many years will there be 86% of the isotope left?


A) 236 yr
B) 1400 yr
C) 700 yr
D) 754 yr

E) All of the above
F) None of the above

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Find the domain and range of the inverse of the given function. -f(x) =  Find the domain and range of the inverse of the given function. -f(x)  =   A)  Domain: [0,  \infty ) ; range: all real numbers  B)  Domain and range: all real numbers C)  Domain: [ 2,  \infty ) ; range: [0,  \infty )  D) Domain: [ 4,  \infty ) ; range: [0,  \infty )


A) Domain: [0, \infty ) ; range: all real numbers
B) Domain and range: all real numbers
C) Domain: [ 2, \infty ) ; range: [0, \infty )
D) Domain: [ 4, \infty ) ; range: [0, \infty )

E) None of the above
F) B) and D)

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Evaluate or simplify the given expression. - Evaluate or simplify the given expression. -    A)   \pi  B)    C)    D) 0   Evaluate or simplify the given expression. -    A)   \pi  B)    C)    D) 0


A) π\pi
B)  Evaluate or simplify the given expression. -    A)   \pi  B)    C)    D) 0
C)  Evaluate or simplify the given expression. -    A)   \pi  B)    C)    D) 0
D) 0

E) B) and C)
F) None of the above

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Determine an appropriate viewing window for the given function and use it to display its graph. -f(x) = Determine an appropriate viewing window for the given function and use it to display its graph. -f(x)  =      A)     B)     C)      D)     Determine an appropriate viewing window for the given function and use it to display its graph. -f(x)  =      A)     B)     C)      D)


A)
Determine an appropriate viewing window for the given function and use it to display its graph. -f(x)  =      A)     B)     C)      D)
B)
Determine an appropriate viewing window for the given function and use it to display its graph. -f(x)  =      A)     B)     C)      D)
C)
Determine an appropriate viewing window for the given function and use it to display its graph. -f(x)  =      A)     B)     C)      D)

D)
Determine an appropriate viewing window for the given function and use it to display its graph. -f(x)  =      A)     B)     C)      D)

E) A) and B)
F) A) and C)

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Use the Change-of Base Rule to find the logarithm to four decimal places. -Use the Change-of Base Rule to find the logarithm to four decimal places. -  2 A)  0.5000 B)  -0.5000 C)  1.0000 D)  2.0000 2


A) 0.5000
B) -0.5000
C) 1.0000
D) 2.0000

E) C) and D)
F) A) and B)

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A

Find the domain and range of the inverse of the given function. -f(x) =  Find the domain and range of the inverse of the given function. -f(x)  =   - 4 A) Domain: all real numbers; range: [ -4,  \infty )  B)  Domain: [ -4,  \infty ) ; range: all real numbers C)  Domain: [0,  \infty ) ; range: [0,  \infty )  D)  Domain and range: all real numbers - 4


A) Domain: all real numbers; range: [ -4, \infty )
B) Domain: [ -4, \infty ) ; range: all real numbers
C) Domain: [0, \infty ) ; range: [0, \infty )
D) Domain and range: all real numbers

E) None of the above
F) All of the above

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Find the domain and range of the function. -F(t) =  Find the domain and range of the function. -F(t)  =   A)  D: [0, \infty ) , R: (- \infty , \infty )  B)  D: (- \infty , \infty ) , R: (- \infty , \infty )  C)  D: (0, \infty ) , R: (0, \infty )  D)  D: (- \infty ,0) , R: (- \infty ,0)


A) D: [0, \infty ) , R: (- \infty , \infty )
B) D: (- \infty , \infty ) , R: (- \infty , \infty )
C) D: (0, \infty ) , R: (0, \infty )
D) D: (- \infty ,0) , R: (- \infty ,0)

E) A) and D)
F) A) and C)

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C

Use the inverse trig functions to express the angle in terms of the indicated unknown side. -Use the inverse trig functions to express the angle in terms of the indicated unknown side. -  Use one of the inverse trig functions   or    to express angle A in terms of c. A)   A =      B)   A =      C)   A =     D)   A =     Use one of the inverse trig functions Use the inverse trig functions to express the angle in terms of the indicated unknown side. -  Use one of the inverse trig functions   or    to express angle A in terms of c. A)   A =      B)   A =      C)   A =     D)   A =     or Use the inverse trig functions to express the angle in terms of the indicated unknown side. -  Use one of the inverse trig functions   or    to express angle A in terms of c. A)   A =      B)   A =      C)   A =     D)   A =     to express angle A in terms of c.


A)
A = Use the inverse trig functions to express the angle in terms of the indicated unknown side. -  Use one of the inverse trig functions   or    to express angle A in terms of c. A)   A =      B)   A =      C)   A =     D)   A =     Use the inverse trig functions to express the angle in terms of the indicated unknown side. -  Use one of the inverse trig functions   or    to express angle A in terms of c. A)   A =      B)   A =      C)   A =     D)   A =

B)
A = Use the inverse trig functions to express the angle in terms of the indicated unknown side. -  Use one of the inverse trig functions   or    to express angle A in terms of c. A)   A =      B)   A =      C)   A =     D)   A =     Use the inverse trig functions to express the angle in terms of the indicated unknown side. -  Use one of the inverse trig functions   or    to express angle A in terms of c. A)   A =      B)   A =      C)   A =     D)   A =

C)
A = Use the inverse trig functions to express the angle in terms of the indicated unknown side. -  Use one of the inverse trig functions   or    to express angle A in terms of c. A)   A =      B)   A =      C)   A =     D)   A =     Use the inverse trig functions to express the angle in terms of the indicated unknown side. -  Use one of the inverse trig functions   or    to express angle A in terms of c. A)   A =      B)   A =      C)   A =     D)   A =
D)
A = Use the inverse trig functions to express the angle in terms of the indicated unknown side. -  Use one of the inverse trig functions   or    to express angle A in terms of c. A)   A =      B)   A =      C)   A =     D)   A =     Use the inverse trig functions to express the angle in terms of the indicated unknown side. -  Use one of the inverse trig functions   or    to express angle A in terms of c. A)   A =      B)   A =      C)   A =     D)   A =

E) B) and D)
F) A) and B)

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Solve for the angle θ, where 0 ≤ θ ≤ 2π - Solve for the angle θ, where 0 ≤ θ ≤ 2π -   \theta =   A)       B)     C)     D)    \theta  = 0,  \pi , 2 \pi   θ\theta =  Solve for the angle θ, where 0 ≤ θ ≤ 2π -   \theta =   A)       B)     C)     D)    \theta  = 0,  \pi , 2 \pi


A)
 Solve for the angle θ, where 0 ≤ θ ≤ 2π -   \theta =   A)       B)     C)     D)    \theta  = 0,  \pi , 2 \pi

B)
 Solve for the angle θ, where 0 ≤ θ ≤ 2π -   \theta =   A)       B)     C)     D)    \theta  = 0,  \pi , 2 \pi
C)
 Solve for the angle θ, where 0 ≤ θ ≤ 2π -   \theta =   A)       B)     C)     D)    \theta  = 0,  \pi , 2 \pi
D)
θ\theta = 0, π\pi , 2 π\pi

E) A) and D)
F) All of the above

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Graph the inverse of the function plotted, on the same set of axes. Use a dashed curve for the inverse. -Graph the inverse of the function plotted, on the same set of axes. Use a dashed curve for the inverse. -  A)          B)     C)     Function is its own inverse.      D)


A)




Graph the inverse of the function plotted, on the same set of axes. Use a dashed curve for the inverse. -  A)          B)     C)     Function is its own inverse.      D)
B)
Graph the inverse of the function plotted, on the same set of axes. Use a dashed curve for the inverse. -  A)          B)     C)     Function is its own inverse.      D)
C)

Function is its own inverse.
Graph the inverse of the function plotted, on the same set of axes. Use a dashed curve for the inverse. -  A)          B)     C)     Function is its own inverse.      D)


D)
Graph the inverse of the function plotted, on the same set of axes. Use a dashed curve for the inverse. -  A)          B)     C)     Function is its own inverse.      D)

E) B) and D)
F) B) and C)

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