15. identify an asymptote\n$y = \\frac{1}{2}(3)^{x - 4}+6$\ndo not type in an equation. write the number only.
15. identify an asymptote\n$y = \\frac{1}{2}(3)^{x - 4}+6$\ndo not type in an equation. write the number only.
Answer
Explanation:
Step1: Recall exponential - function asymptote rule
For an exponential function of the form $y = a(b)^{x - h}+k$, the horizontal asymptote is $y = k$.
Step2: Identify values in given function
In the function $y=\frac{1}{2}(3)^{x - 4}+6$, we have $a=\frac{1}{2}$, $b = 3$, $h = 4$, and $k = 6$.
Answer:
6