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Math Help - Functions Qs related to a Graph

  1. #1
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    Exclamation Functions Qs related to a Graph

    The following graph represents a given graph to answer the following questions. I will post my solutions to the questions and I'd like to see if their right; from questions C+ is where I really begin to be unsure. (My answers will be in blue). Going to take a wild guess and say "failure" xD



    (a) Is it the graph of a function? Explain.
    Yes, for every x-int there is only one y-int.

    (b) What is f(3)? Label it on the graph.
    (1 , f(3))

    (c) For what values of x is f(x)=1? Label it/them on the graph.
    (-4 , f(1))

    (d) For what values of x is f(x)=0? Label it/them on the graph.
    -1 (< or equal to) x < 0

    (e) What are the x-intercepts?
    -1 (< or equal to) x < 0

    (f) What is the y-intercept?
    None

    (g) What is the domain of the function?
    -4 (< or equal to) x < -3 , -2 < x < 0 , 1 (< or equal to) x < 2 ,
    x ( > or equal to) 3 , x (not equal to 0)


    (h) What is the range of the function?
    {x, x (not equal to) 0....}
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  2. #2
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    Quote Originally Posted by CODEONE View Post
    The following graph represents a given graph to answer the following questions. I will post my solutions to the questions and I'd like to see if their right; from questions C+ is where I really begin to be unsure. (My answers will be in blue). Going to take a wild guess and say "failure" xD



    (a) Is it the graph of a function? Explain.
    Yes, for every x-int there is only one y-int.

    (b) What is f(3)? Label it on the graph.
    (1 , f(3))
    f(3) = -1. It is a value on the graph, labeled by the point (3, f(3)).

    (c) For what values of x is f(x)=1? Label it/them on the graph.
    (-4 , f(1))

    (d) For what values of x is f(x)=0? Label it/them on the graph.
    -1 (< or equal to) x < 0

    (e) What are the x-intercepts?
    -1 (< or equal to) x < 0

    (f) What is the y-intercept?
    None

    (g) What is the domain of the function?
    -4 (< or equal to) x < -3 , -2 < x < 0 , 1 (< or equal to) x < 2 ,
    x ( > or equal to) 3 , x (not equal to 0)

    You don't need the "x not equal to 0" comment. You already excluded that when you wrote -2 < x < 0.

    (h) What is the range of the function?
    {x, x (not equal to) 0....}
    It looks to me like any value below -1 is included, so ( -infinity, -1] and [0, 2) and (2, 3]. If you don't know the interval notation this is x <= -1, 0 <= x < 2, 2 < x <=3.
    My responses are in red above.

    -Dan
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  3. #3
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    Quote Originally Posted by CODEONE View Post
    The following graph represents a given graph to answer the following questions. I will post my solutions to the questions and I'd like to see if their right; from questions C+ is where I really begin to be unsure. (My answers will be in blue). Going to take a wild guess and say "failure" xD


    (a) Is it the graph of a function? Explain.
    Yes, for every x-int there is only one y-int.

    (b) What is f(3)? Label it on the graph.
    (1 , f(3)) (3, f(3)) = (3, -1)

    (c) For what values of x is f(x)=1? Label it/them on the graph.
    (-4 , f(1)) (-4, 1) NOT f(1). f(1) is the y-value when x = 1.

    (d) For what values of x is f(x)=0? Label it/them on the graph.
    -1 (< or equal to) x < 0

    (e) What are the x-intercepts?
    -1 (< or equal to) x < 0

    (f) What is the y-intercept?
    None

    (g) What is the domain of the function?
    -4 (< or equal to) x < -3 , -2 < x < 0 , 1 (< or equal to) x < 2 ,
    x ( > or equal to) 3 , x (not equal to 0)
    You don't need this last one about x =/= 0.

    (h) What is the range of the function?
    {x, x (not equal to) 0....} MINE: y \epsilon R (- \infty, 1]\cup[0, 2)\cup(2,3]

    You might not be familiar with the notation I used in the last one, but it is good for this kind of domain/range.
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