Exam 3: Functions and Graphs

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If f(x)= If f(x)=    + 2x - 6,find  + 2x - 6,find If f(x)=    + 2x - 6,find

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For the polynomial function f(x)= For the polynomial function f(x)=    +    , Find: (a)the degree,and (b)the leading coefficient + For the polynomial function f(x)=    +    , Find: (a)the degree,and (b)the leading coefficient , Find: (a)the degree,and (b)the leading coefficient

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Suppose the yearly supply function for paintings from an artist is p = 3000x. (a)How many paintings per year will be supplied if the price is $21,000 per painting? (b)How many paintings per year will be supplied if the price is $51,000 per painting? (c)How does the amount supplied change as the price increases?

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To obtain a graph of y = 7 To obtain a graph of y = 7   + 3 from the graph of y = 7   ,which of the following statements is true? + 3 from the graph of y = 7 To obtain a graph of y = 7   + 3 from the graph of y = 7   ,which of the following statements is true? ,which of the following statements is true?

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Sketch the graph of f(x)= Sketch the graph of f(x)=    + 1.Also determine the intercepts. + 1.Also determine the intercepts.

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Ellen's health plan has a $5.00 copayment for complete pregnancy care. (a)Write the cost of her prenatal care as a function of the number of prenatal visits she makes. (b)How does Ellen's cost change as her number of prenatal visits increases? (c)What kind of function is this?

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Given the function f(x)= Given the function f(x)=    + 4x + 2,find: (a)the domain (b)f(0) (c)f(3) (d)f(-2) (e)f(-    ) + 4x + 2,find: (a)the domain (b)f(0) (c)f(3) (d)f(-2) (e)f(- Given the function f(x)=    + 4x + 2,find: (a)the domain (b)f(0) (c)f(3) (d)f(-2) (e)f(-    ) )

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Determine whether the graph of Determine whether the graph of    =    is symmetric about the x-axis,the y-axis,the origin,or the line y = x. = Determine whether the graph of    =    is symmetric about the x-axis,the y-axis,the origin,or the line y = x. is symmetric about the x-axis,the y-axis,the origin,or the line y = x.

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If f(x)= If f(x)=    + 2x,find: (a)f(1)and (b)f(-1). + 2x,find: (a)f(1)and (b)f(-1).

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If h(x)= If h(x)=    ,find functions f and g such that h(x)= f(g(x)). ,find functions f and g such that h(x)= f(g(x)).

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The domain and range of the function f whose graph appears below is The domain and range of the function f whose graph appears below is

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The domain of f(x)= The domain of f(x)=   consists of all real numbers x such that consists of all real numbers x such that

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If f(x)= If f(x)=   + 1 and g(x)=   ,then (f ∘ g)(x)= + 1 and g(x)= If f(x)=   + 1 and g(x)=   ,then (f ∘ g)(x)= ,then (f ∘ g)(x)=

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Suppose the yearly demand function for an artist's paintings is p = Suppose the yearly demand function for an artist's paintings is p =    . (a)If the current prices is $200.00 per painting,how many paintings are sold each year? (b)If the artist wants to sell 4 paintings per year,what should the price be? . (a)If the current prices is $200.00 per painting,how many paintings are sold each year? (b)If the artist wants to sell 4 paintings per year,what should the price be?

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You want to play a lottery that uses 50 numbers.How many combinations are possible if you need to pick 5 numbers? Represent as a factorial and give the solution.

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For the graph of y = f(x)= For the graph of y = f(x)=    - 4, (a)Determine the intercepts. (b)Determine whether the graph is symmetric about the x-axis,y-axis,the origin,or the line y = x. (c)Sketch the graph.State (d)the domain and (e)the range of f. - 4, (a)Determine the intercepts. (b)Determine whether the graph is symmetric about the x-axis,y-axis,the origin,or the line y = x. (c)Sketch the graph.State (d)the domain and (e)the range of f.

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Given the function f(x)= Given the function f(x)=    find: (a)the domain (b)f(0) (c)f(2) (d)f(-2) (e)f(-3) find: (a)the domain (b)f(0) (c)f(2) (d)f(-2) (e)f(-3)

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If f(x)= If f(x)=    and g(x)= 2x + 1,find: (a)(f + g)(x) (b)(f + g)(3) (c)(f - g)(x) (d)(fg)(x) (e)(fg)    (f)    (    ) (g)f(g(x)) (h)f(g(1)) (i)g(f(x)) and g(x)= 2x + 1,find: (a)(f + g)(x) (b)(f + g)(3) (c)(f - g)(x) (d)(fg)(x) (e)(fg) If f(x)=    and g(x)= 2x + 1,find: (a)(f + g)(x) (b)(f + g)(3) (c)(f - g)(x) (d)(fg)(x) (e)(fg)    (f)    (    ) (g)f(g(x)) (h)f(g(1)) (i)g(f(x)) (f) If f(x)=    and g(x)= 2x + 1,find: (a)(f + g)(x) (b)(f + g)(3) (c)(f - g)(x) (d)(fg)(x) (e)(fg)    (f)    (    ) (g)f(g(x)) (h)f(g(1)) (i)g(f(x)) ( If f(x)=    and g(x)= 2x + 1,find: (a)(f + g)(x) (b)(f + g)(3) (c)(f - g)(x) (d)(fg)(x) (e)(fg)    (f)    (    ) (g)f(g(x)) (h)f(g(1)) (i)g(f(x)) ) (g)f(g(x)) (h)f(g(1)) (i)g(f(x))

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Determine the x- and y-intercepts of the graph of y = Determine the x- and y-intercepts of the graph of y =    (x + 3). (x + 3).

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Determine whether or not the function is one-to-one: f(x)= Determine whether or not the function is one-to-one: f(x)=    - 3 - 3

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