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Assume that Assume that     for each real number x different of 0. Evaluate and simplify the expression      . for each real number x different of 0. Evaluate and simplify the expression Assume that     for each real number x different of 0. Evaluate and simplify the expression      . .

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Choose the composite of functions that would create the graph: Choose the composite of functions that would create the graph:     A)    For  And   B)    For  And   C)    For  And   D)    For  And


A)
Choose the composite of functions that would create the graph:     A)    For  And   B)    For  And   C)    For  And   D)    For  And  For Choose the composite of functions that would create the graph:     A)    For  And   B)    For  And   C)    For  And   D)    For  And  And Choose the composite of functions that would create the graph:     A)    For  And   B)    For  And   C)    For  And   D)    For  And
B)
Choose the composite of functions that would create the graph:     A)    For  And   B)    For  And   C)    For  And   D)    For  And  For Choose the composite of functions that would create the graph:     A)    For  And   B)    For  And   C)    For  And   D)    For  And  And Choose the composite of functions that would create the graph:     A)    For  And   B)    For  And   C)    For  And   D)    For  And
C)
Choose the composite of functions that would create the graph:     A)    For  And   B)    For  And   C)    For  And   D)    For  And  For Choose the composite of functions that would create the graph:     A)    For  And   B)    For  And   C)    For  And   D)    For  And  And Choose the composite of functions that would create the graph:     A)    For  And   B)    For  And   C)    For  And   D)    For  And
D)
Choose the composite of functions that would create the graph:     A)    For  And   B)    For  And   C)    For  And   D)    For  And  For Choose the composite of functions that would create the graph:     A)    For  And   B)    For  And   C)    For  And   D)    For  And  And Choose the composite of functions that would create the graph:     A)    For  And   B)    For  And   C)    For  And   D)    For  And

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

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Choose the composite of functions that would create the graph: Choose the composite of functions that would create the graph:     A)    For  And   B)    For  And   C)    For  And   D)   For  And


A)
Choose the composite of functions that would create the graph:     A)    For  And   B)    For  And   C)    For  And   D)   For  And  For Choose the composite of functions that would create the graph:     A)    For  And   B)    For  And   C)    For  And   D)   For  And  And Choose the composite of functions that would create the graph:     A)    For  And   B)    For  And   C)    For  And   D)   For  And
B)
Choose the composite of functions that would create the graph:     A)    For  And   B)    For  And   C)    For  And   D)   For  And  For Choose the composite of functions that would create the graph:     A)    For  And   B)    For  And   C)    For  And   D)   For  And  And Choose the composite of functions that would create the graph:     A)    For  And   B)    For  And   C)    For  And   D)   For  And
C)
Choose the composite of functions that would create the graph:     A)    For  And   B)    For  And   C)    For  And   D)   For  And  For Choose the composite of functions that would create the graph:     A)    For  And   B)    For  And   C)    For  And   D)   For  And  And Choose the composite of functions that would create the graph:     A)    For  And   B)    For  And   C)    For  And   D)   For  And
D) Choose the composite of functions that would create the graph:     A)    For  And   B)    For  And   C)    For  And   D)   For  And  For Choose the composite of functions that would create the graph:     A)    For  And   B)    For  And   C)    For  And   D)   For  And  And Choose the composite of functions that would create the graph:     A)    For  And   B)    For  And   C)    For  And   D)   For  And

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

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Suppose h(x) = -11 + x2, where the domain of h is the set of positive numbers. Find a formula for h-1.

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Choose the composite of functions that would create the graph: Choose the composite of functions that would create the graph:   A)    For  And   B)    For  And   C)    For  And   D)    For  And


A)
Choose the composite of functions that would create the graph:   A)    For  And   B)    For  And   C)    For  And   D)    For  And  For Choose the composite of functions that would create the graph:   A)    For  And   B)    For  And   C)    For  And   D)    For  And  And Choose the composite of functions that would create the graph:   A)    For  And   B)    For  And   C)    For  And   D)    For  And
B)
Choose the composite of functions that would create the graph:   A)    For  And   B)    For  And   C)    For  And   D)    For  And  For Choose the composite of functions that would create the graph:   A)    For  And   B)    For  And   C)    For  And   D)    For  And  And Choose the composite of functions that would create the graph:   A)    For  And   B)    For  And   C)    For  And   D)    For  And
C)
Choose the composite of functions that would create the graph:   A)    For  And   B)    For  And   C)    For  And   D)    For  And  For Choose the composite of functions that would create the graph:   A)    For  And   B)    For  And   C)    For  And   D)    For  And  And Choose the composite of functions that would create the graph:   A)    For  And   B)    For  And   C)    For  And   D)    For  And
D)
Choose the composite of functions that would create the graph:   A)    For  And   B)    For  And   C)    For  And   D)    For  And  For Choose the composite of functions that would create the graph:   A)    For  And   B)    For  And   C)    For  And   D)    For  And  And Choose the composite of functions that would create the graph:   A)    For  And   B)    For  And   C)    For  And   D)    For  And

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

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Give the coordinates of the point Give the coordinates of the point  Using the figure below.     A)  (0, -1)  B)  (1, -1)  C)  (-1, 1)  D)  (1, 0) Using the figure below. Give the coordinates of the point  Using the figure below.     A)  (0, -1)  B)  (1, -1)  C)  (-1, 1)  D)  (1, 0)


A) (0, -1)
B) (1, -1)
C) (-1, 1)
D) (1, 0)

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

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Suppose that g is the function defined by the table below. What is the range of g -1? Suppose that g is the function defined by the table below. What is the range of g <sup>-</sup><sup>1</sup>?

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Suppose Suppose      . If   , then find a function g such that      . . If Suppose      . If   , then find a function g such that      . , then find a function g such that Suppose      . If   , then find a function g such that      . .

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Assume that Assume that  For each real number x. Evaluate and simplify the following expression.    A)  3 B)  9 C)  0 D)    For each real number x. Evaluate and simplify the following expression. Assume that  For each real number x. Evaluate and simplify the following expression.    A)  3 B)  9 C)  0 D)


A) 3
B) 9
C) 0
D)
Assume that  For each real number x. Evaluate and simplify the following expression.    A)  3 B)  9 C)  0 D)

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

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Suppose Suppose     . Evaluate f<sup> -</sup><sup>1</sup>(4) . A)  4 B)  5 C)  3 D)  -4 . Evaluate f -1(4) .


A) 4
B) 5
C) 3
D) -4

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

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Suppose f(x) = -x - 16. Evaluate f -1(-11) .


A) 16
B) 14
C) -5
D) 15

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

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Suppose that f is the function defined by the table below. What is the domain of f -1? Suppose that f is the function defined by the table below. What is the domain of f <sup>-</sup><sup>1</sup>?   A)  {8, 9, 10, 11} B)     C)  {10, 11, 12, 13} D)  {8, 10, 12, 14}


A) {8, 9, 10, 11}
B)
Suppose that f is the function defined by the table below. What is the domain of f <sup>-</sup><sup>1</sup>?   A)  {8, 9, 10, 11} B)     C)  {10, 11, 12, 13} D)  {8, 10, 12, 14}
C) {10, 11, 12, 13}
D) {8, 10, 12, 14}

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

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Suppose that f and g are the functions defined by the tables below. What is the range of g? Suppose that f and g are the functions defined by the tables below. What is the range of g?   A)  {8, 9, 10, 11} B)  {9, 10, 11, 12} C)  {10, 11, 12, 13} D)  {7, 8, 9, 10}


A) {8, 9, 10, 11}
B) {9, 10, 11, 12}
C) {10, 11, 12, 13}
D) {7, 8, 9, 10}

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

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Find the domain of Find the domain of       . .

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Let f(x) = x2 and g(x) = x2 + 2x + 2. Which of the following alternatives best describes the relationship between the graph of f and g?


A) The graph of g is obtained by shifting the graph of f up one unit
B) The graph of g is obtained by shifting the graph of f up one unit and shifting right one unit
C) The graph of g is obtained by shifting the graph of f down one unit and shifting it right one unit
D) The graph of g is obtained by shifting the graph of f up one unit and shifting left one unit

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

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Assume that f is a function whose domain is the interval Assume that f is a function whose domain is the interval      , whose range is the interval     , and whose graph is the figure below. For g(x) = f(x + 2),      A) find the domain of g. B) find the range of g. C) sketch the graph of g. , whose range is the interval Assume that f is a function whose domain is the interval      , whose range is the interval     , and whose graph is the figure below. For g(x) = f(x + 2),      A) find the domain of g. B) find the range of g. C) sketch the graph of g. , and whose graph is the figure below. For g(x) = f(x + 2), Assume that f is a function whose domain is the interval      , whose range is the interval     , and whose graph is the figure below. For g(x) = f(x + 2),      A) find the domain of g. B) find the range of g. C) sketch the graph of g. A) find the domain of g. B) find the range of g. C) sketch the graph of g.

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Part A:
blured image ...

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Which of the following functions has domain Which of the following functions has domain   ? A)     B)     C)     D)   ?


A) Which of the following functions has domain   ? A)     B)     C)     D)
B) Which of the following functions has domain   ? A)     B)     C)     D)
C) Which of the following functions has domain   ? A)     B)     C)     D)
D) Which of the following functions has domain   ? A)     B)     C)     D)

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

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Suppose f(x) = 5x3 + x. Which of the following alternatives equals f -1(630) ?


A) 5
B)
Suppose f(x)  = 5x<sup>3</sup> + x. Which of the following alternatives equals f<sup> -</sup><sup>1</sup>(630) ? A)  5 B)    C)  6 D)
C) 6
D)
Suppose f(x)  = 5x<sup>3</sup> + x. Which of the following alternatives equals f<sup> -</sup><sup>1</sup>(630) ? A)  5 B)    C)  6 D)

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

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Assume that f is the function with domain [-3, 3] whose graph is shown below. Estimate a number b such that f(b) + f(-b) = 2. Assume that f is the function with domain [-3, 3] whose graph is shown below. Estimate a number b such that f(b)  + f(-b)  = 2.      A)  1.5 B)  1 C)  2 D)  0


A) 1.5
B) 1
C) 2
D) 0

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

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Choose the table that represents a function.


A)
Choose the table that represents a function.  A)       B)       C)       D)

B)
Choose the table that represents a function.  A)       B)       C)       D)

C)
Choose the table that represents a function.  A)       B)       C)       D)

D)
Choose the table that represents a function.  A)       B)       C)       D)

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

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