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.