Equation for the horizontal asymptote.

In summary, the equation for the horizontal asymptote is y = c, where c is a constant value. To find this equation, you need to determine the degree of the highest power of x in the polynomial and divide the coefficient of the highest power of x by the coefficient of the highest power of x in the denominator. The equation for the horizontal asymptote can have a fraction, and it is not the same as the x-axis. This equation is important because it helps us understand the behavior of a function and make predictions about its values at certain points.
  • #1
arroww
16
0
How would you find the equation for the horizontal asymptote of the following exponential function?:
\(\displaystyle g(x) = -2f(2x - 6)\)

Let \(\displaystyle f(x) = 4^x\)
 
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  • #2
I would begin by looking at the horizontal asymptote of $f$...can you see what this is?
 

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