Question

4 multiple choice 5 points what is the horizontal asymptote of f(x)=2^{x}+3? 2 -3 3 clear my selection

Explanation:

Step1: Recall the formula for horizontal asymptote of \(y = a\cdot b^{x}+c\)

For the function \(y = a\cdot b^{x}+c\) (\(b> 0,b
eq1\)), when \(x\to\pm\infty\), if \(|b|>1\) or \(0 < |b|<1\), the horizontal asymptote is \(y = c\).

Step2: Identify \(a\), \(b\), \(c\) in \(f(x)=2^{x}+3\)

In the function \(f(x)=2^{x}+3\), we have \(a = 1\), \(b = 2\), \(c=3\).

Answer:

C. 3