The graph of an exponential function is shown on the grid.
The graph of y=.5(4)^x with dashed red lines J, K, L, M and line j at x=1, line k at x=2.5, line L at y=1.5, and line M at y=0
Which dashed line is an asymptote for the graph?
The graph of an exponential function is shown on the grid.
The graph of y=.5(4)^x with dashed red lines J, K, L, M and line j at x=1, line k at x=2.5, line L at y=1.5, and line M at y=0
Which dashed line is an asymptote for the graph?
Line K
Line L
Line M
Line J
The correct answer is Line M.
An asymptote is a line that the graph approaches but never touches or crosses. Line M is the horizontal line at y=0, meaning the graph approaches this line as x approaches positive or negative infinity, but it never crosses or touches it. Therefore, Line M is the asymptote for the graph of y=.5(4)^x.