SOLUTION: FIND THE EQUATIONS OF ANY HORIZONTAL ASYMPTOTES WITHOUT GRAPHING Y=E^X-8

Question 110934: FIND THE EQUATIONS OF ANY HORIZONTAL ASYMPTOTES WITHOUT GRAPHING
Y=E^X-8
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
When x is a really large negative number (like -1,000,000) this means we get

which is a really small number. If you keep going, then will become small enough that will consider it to be zero. So the only thing left is the "-8". So the horizontal asymptote is

Notice if we graph , we get

and we can see that the horizontal asymptote is at
RELATED QUESTIONS
y = (5x-5)/ (x-1) find any vertical or any horizontal asymptotes. Find the... (answered by josgarithmetic)

Find the equations of both the horizontal and vertical asymptotes of the rational... (answered by lwsshak3)

State the equations of the verticaland horizontal asymptotes of g(x)= 8/x+5... (answered by stanbon)

Find the equation of line with a slope -1 that is the tangent to the curve y=1/x-1... (answered by AnlytcPhil)

find the rational fraction, identify any holes or horizontal or vertical asymptotes of... (answered by richard1234)

Find the vertical and horizontal asymptotes (if any) for y= 1/ x+2 +... (answered by ikleyn)

give the equations of any vertical and horizontal asymptotes of the rational functions... (answered by MathLover1)

How to go about graphing y = sec(x/2)? How to find do I find the vertical and... (answered by stanbon)

For each rational function, identify any holes or horizontal or vertical asymptotes of... (answered by stanbon)