Answer:
1. ( 4,-25 ) and (1, 1)
2. As x decreases without bound, f(x) increases without bound and As x increases without bound, f(x) approaches the line y=−2y=−2.
Step-by-step explanation:
Question 1: We are given the function ![f(x)= -3^{x-1}+2](https://tex.z-dn.net/?f=f%28x%29%3D%20-3%5E%7Bx-1%7D%2B2)
Substituting the value of x = 4, 1, 0 and -1.
The value of f(x) are f(4) = -25, f(1) = 1,
and ![f(0)=\frac{17}{9}](https://tex.z-dn.net/?f=f%280%29%3D%5Cfrac%7B17%7D%7B9%7D)
Hence, the points lying on the graph of
are ( 4,-25 ) and ( 1,1 ).
Question 2: From the given graph, we can see that,
As
,
.
Also, as
,
.
Hence, we get that according to the options,
As x decreases without bound, f(x) increases without bound and As x increases without bound, f(x) approaches the line y=−2y=−2.