Answer asap pleaseWhich points are on the graph of f(x)=(1/3)^xSelect each correct answer(0, 1)(3, 27) (-2,9)(-1, -1/3)
Accepted Solution
A:
Answer:(0,1) and (-2,9)Step-by-step explanation:A point (x,y) lies on the graph of f(x) = [tex](\frac{1}{3} )^{x}[/tex] if it satisfies the condition y = [tex](\frac{1}{3} )^{x}[/tex](0,1): x = 0 and y = 1.This point satisfies the required condition as [tex](\frac{1}{3} )^{0}[/tex] = 1Hence, this point is on the graph of f(x) = [tex](\frac{1}{3} )^{x}[/tex](3,27): x = 3 and y = 27.This point doesn't satisfy the required condition as [tex](\frac{1}{3} )^{3}[/tex] = [tex]\frac{1}{27}[/tex] ≠ 27Hence, this point is not on the graph of f(x) = [tex](\frac{1}{3} )^{x}[/tex](-2,9): x = -2 and y = 9.This point satisfies the required condition as [tex](\frac{1}{3} )^{-2}[/tex] = [tex]3^{2}[/tex] = 9Hence, this point is on the graph of f(x) = [tex](\frac{1}{3} )^{x}[/tex](-1,[tex]-\frac{1}{3}[/tex]): x = -1 and y = [tex]-\frac{1}{3}[/tex].This point satisfies the required condition as y = [tex](\frac{1}{3} )^{-1}[/tex] = [tex]3^{1}[/tex] = 3 ≠ [tex]-\frac{1}{3}[/tex]Hence, this point is not on the graph of f(x) = [tex](\frac{1}{3} )^{x}[/tex]