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Math Help - Functions

  1. #1
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    Functions

    Using this function, try and answer the question:

    f(x)= (x^2 + 2)/(x+4)

    Question 1: If f(x)=1/2, what is x? What point(s) are on the graph of f?
    Question 2: what is the domain of f?
    Question 3: List the x-intercepts, if any of the graph of f.
    Question 4: List the y-intercepts, if any, of the graph of f.
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  2. #2
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    Quote Originally Posted by kukid123 View Post
    Using this function, try and answer the question:

    f(x)= (x^2 + 2)/(x+4)

    Question 1: If f(x)=1/2, what is x? What point(s) are on the graph of f?
    Question 2: what is the domain of f?
    Question 3: List the x-intercepts, if any of the graph of f.
    Question 4: List the y-intercepts, if any, of the graph of f.
    What does this have to do with trigonometry?

    (x^2 + 2)/(x + 4) = 1/2

    x^2 + 2 = (x + 4)/2

    2x^2 - x = 0

    x(2x - 1) = 0

    x = 0 or x = 1/2



    The domain is x>-4, x<-4



    f(x) = 0 when x^2 + 2 = 0

    No real roots, so f does not intercept x axis.



    f(0) = 2/4 = 1/2

    y intercept at y = 1/2
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