Question

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

Answer 1

Answer:

Explanation:

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 we increase x, f(x) values grows smaller and approaching to zero i.e,

as  ,

as we decreases s, f(x) grows without bound. i.e,

as  ,

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