Math 112 1.1 and 1.2 Quiz

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Mossy
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218612
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Math 112 1.1 and 1.2 Quiz
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2013-05-08 19:35:25
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Chapter 1: Functions and Their Graphs 1.1 - Functions 1.2 - The Graph of a Function
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  1. Determine whether the graph is that of a function by using the vertical-line test. If it is, use the graph to find
    (a) its domain and range
    (b) the intercepts, if any
    (c) any symmetry with respect to the x-axis, y-axis, or the origin.
    • Is the graph that of a function?
    • No
    • (a)What is the domain and range of the function?
    • The graph is not that of a function
    • (b)What are the intercepts of the function?
    • The graph is not that of a function.
    • (c)If the graph is that of a function, determine what kinds of symmetry it has. Select all that apply.
    • The graph is not that of a function.

  2. The Domain is

    (interval notation)
  3. Decide whether the statement is true of false. The Domain of the function f(x)= is .
    • False
    • -this is false because the x in the denominator can never be equal to zero. (division by zero is undefined)
  4. Determine whether the following relation represents a function. If it is a function, state the domain and range.
    {(-2,8), (1,-7), (-5,-5), (-7,-7)}
    • Does the given relation represent af function?
    • Yes
    • What is the domain?
    • {-2,1,-5,-7}
    • What ist he range?
    • {8,-7,-5,-7)

  5. Determine whether the graph below is that of a function by using the vertical-line test. If it is, use the graph to find
    (a) its domain and range.
    (b) the intercepts, if any.
    (c) any symmetry with respect to the x-axis, y-axis, or the origin.
    • Is the graph that of a function?
    • Yes
    • (a)If the graph is that of a function, what are the domain and range of the function?
    • The domain is . The range is .
    • (b)What are the intercepts?
    • (6,0), (-6,0), (0,6)
    • (c)Determine if the graph is symmetrical.
    • It is symmetrical with respect to the y-axis.
  6. Answer the questions about the given function. f(x)=

    (a) Is the point (4,) on the graph of f?
    (b) If x=3, what is f(x)? What point is on the graph of f?
    (c) If f(x)=2, what is x? What point(s) are on the graph of f?
    (d) What is the domain of f?
    (e) List the x-intercept(s), if any, of the graph of f.
    (f) List the y-intercept, if any, of the graph of f.
    (g) What are the zeros of f?
    • (a) No
    • (b) 14, (3,14)
    • (c) x=15, (15,2)
    • (d)
    • (e) The x-interecept(s) is/are -11
    • (f)  The y-intercept(s) is/are -
    • (g) The zero(s) is/are -11
  7. f(x)=-9x+6
    The domain is
  8. Decide whether the following statement is true or false.
    Every relation is a function.
    False
  9. Determine whether the equation defines y as a function of x.

    y=
    Yes
  10. Determine whether the graph below is that of a function by using the vertical-line test. If it is, use the graph to find
    (a) domain and range
    (b) the intercepts, if any.
    (c) any symmetry with respect to the x-axis, y-axis, or the origin.
    • Is the graph that of a function?
    • Yes
    • (a)Domain is
    • Range is
    • (b)What are the intercepts?
    • (c) It is symmetrical with respect to the origin
  11. Determine whether the equation defines y as a function of x.

    4x2+5y2=1
    No
  12. For the function f defined by f(x) , find the following values.
    • (a) f(-4)=
    • (b) f(-x)=

    • (c) -f(x)=
    • (d) f(x+h)=
  13. Determine whether the following relation represents a function.

    {(4,-2), (6,-7), (-9,1), (4,1)}
    • No
    • - the x-values 4 appear on more than one point.
  14. f(x) = x-11; g(x) = 2x2
    (a) (f+g)(3) = 10

    • What is the domain of f+g?
    • {x|x is any real number)

    (b) (f*g)(2) = -72

    • What is the domain of f*g?
    • {x|x is any real number)
  15. For f(x)= and g(x)=, find (a) (f+g)(x) and (b)(x). Also, find the domain of each.
    (a) (f+g)(x)=

    domain is

    (b) (f*g)(x)=

    domain is

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