Answer and Step-by-step explanation:
Let's plug in each of -2, -1, 0, 1, and 2 in for x in the equation [tex]f(x)=(1/2)^x[/tex].
f(-2) = [tex](1/2)^{-2}=4[/tex] ----- So, plot the point (-2, 4)
f(-1) = [tex](1/2)^{-1}=2[/tex] ------- So, plot the point (-1, 2)
f(0) = [tex](1/2)^{0}=1[/tex] ------ So, plot the point (0, 1)
f(1) = [tex](1/2)^{1}=1/2[/tex] ----- So, plot the point (1, 1/2)
f(2) = [tex](1/2)^{2}=1/4[/tex] ------- So, plot the point (2, 1/4)
After plotting those points, just connect the dots and that's your graph.
Hope this helps!
