Answer:
( 1 , 1 ) and ( 4 , - 25 ) lie on the graph
Step-by-step explanation:
f(x) = - [tex]3^{x-1} [/tex] + 2
( 1 , 1 ) lies on the graph
f(1) = - [tex]3^{1-1} [/tex] + 2 = - 1 + 2 = 1
( 0 , 0 )
f(0) = - [tex]3^{0-1} [/tex] + 2 = - [tex]\frac{1}{3} [/tex] + 2 > 0
( 4 , - 25 ) lies on the graph
f(4) = - [tex]3^{4-1} [/tex] + 2 = - 27 + 2 = - 25
( - 1 , 2 )
f( - 1 ) = - [tex]3^{-1-1} [/tex] + 2 = - [tex]\frac{1}{9} [/tex] + 2 < 2
