Pre-Cal

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Identify the following features of the graph of g(x) = (3/2)^x+2

A) Asymptotes
B) Intercepts
C) Increasing or decreasing

Once I graph this on my calculator, how can I find these?

  • Pre-Cal -

    sounds like you are using a graphing calculator, I don't have one of those.

    But I can visualize the graph,
    since the base is (3/2) , as x ---> large +
    g(x) becomes very large, so the curve rises to the right
    as x ---> large - , we get 1/"large" -----> 0

    the curve approaches the x-axis to the left, and there is a horizontal asymptote at y = 0

    when x = -2 , y = 1, so the y-intercept is 1

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