Posted by **Mark** on Monday, March 22, 2010 at 12:49am.

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 -
**Reiny**, Monday, March 22, 2010 at 8:16am
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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