Answer:
The graph of the function [tex]f(x) = (1/2)^2x + 4[/tex] is attached as image below.
Analysis:
We have two intersection points in the graph
The function [tex]f(x) = (1/2)^2x + 4[/tex] intersects the y-axis at points (0,4)
The function [tex]f(x) = (1/2)^2x + 4[/tex] intersects the x-axis at points (-16,0)
f(x) is positive for x>-`16
f(x) is negative for x<-`16