Which graph represents the function f(x) = (3/2)^-x image for option 1image for option 2image for option 3image for option 4

An exponential decay function where a is the initial value and 0<b<1.

Given the function:

or we can write this as;

         ......[1]

The domain for this function is all real number and the range is, y>0.

also this function is decreasing because b = < 1.

First find the y-intercept:

y-intercepts defined as the graph crosses the y-axis

substitute x =0 in [1] to find x;

y-intercepts: (0, 1).

End behavior of the given function:

as ,

as ,

As you can see the graph of this function below in the attachment.

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step-by-step explanation: