Question

Choose the equation that represents the asymptote of the graph f(x) = 2^x +3.

y = 0
y = 3
x = 0
x = 3​

Answer 1

x = 0

Explanation:

The horizontal asymptote occurs at x = 0, Hence the equation that represents the asymptote of the graph is at x = 0

f(x) = 2^x +3.

0 = 2^x +3.

2^x +3. = 0

2^x = -3

log 2^ x = log(-3)

x log2 = log(-3)

x = log(-3)/log 2

Hence the required function is when x = 0