Question

Select the correct answer.What is the equation of the asymptote for this function?f(x)= (1/2)^x+ 3

Answer 1

Given the equation:

$f(x)=(\frac{1}{2})^x+3$

As (x) goes to (∞), the value of f(x) will be:

$f(x)=(\frac{1}{2})^{\infty}+3=0+3=3$

So, the equation of the asymptote is: y = 3

The answer will be option D. y = 3