Question

Identify the horizontal asymptote of the graph f(x)= -2 • 3x

Answer 1

we are given the following function:

$y=-2\cdot3^x$

In order to find the horizontal asymptote we need to solve for "y". To do that we will give values of "x" that are negative:

For x = -1 we have:

$y=-2\cdot3^{-1}=-0.66$

For x = -5

$y=-2\cdot3^{-5}=-0.008$

For x = -8

$y=-2\cdot3^{-8}=-0.0003$

For x = -10

$y=-2\cdot3^{-10}=-0.00003$

If we continue giving values of "x" that are smaller and smaller we see that the value of the function tends to be 0, therefore, the horizontal asymtote for this function is y = 0.