Answer:
y = 0
Step-by-step explanation:
1 c.
If we have an exponential function of the form [tex]f(x)=a^x[/tex], where "a" is any positive integer, say, then that function will take the general shape of the function shown in the picture.
It will always approach the x-axis but never meet (touch). Any line that a function (graph) approaches but never touches, is known as an asymptote to the graph.
Since the function [tex]f(x)=4^x[/tex] follows the path of the general form shown above, this also approaches the x-axis, but never touches. So, the x-axis is the asymptote of the function.
We know
x-axis has equation y = 0, and
y-axis has equation x = 0
Here, the x-axis is the asymptote, so the equation is:
y = 0
