graph this function and determine the domain,range and vertical asymptote.

f(x)=In(4-x) no need to graph just assist with points

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  1. Here is a nice little page that will give you a quick graph
    Just type
    log(4-x) into the first window, and click on "Draw"

    Remember, we can only take log of positive numbers
    so 4-x > 0
    -x > -4
    x < 4
    So there is a vertical asymtpote at x = 4
    the domain is x < 4
    range: y ∊ R

    to get the graph, on your calculator find some critical points, e.g.
    x = 3.999 -- (3.999 , -6.9)
    x = 0 ---- (0, 1.39)
    x = 3 --- (3 , 0)
    x = -5 --- (-5 , 2.2)
    x = -1000 --- (-1000 , 6.9) ---> just to show what happens at the far left.

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