Question

find the horizontal asymptote for the following exponential function. remember to type in your answer as a function.

$f(x)=2^{6x + 4}-5$

your answer is

question help: video read written example

Explanation:

Step1: Analyze the general form of exponential function

The general form of an exponential function is \(y = a\cdot b^{kx + c}+d\). The horizontal asymptote of \(y = a\cdot b^{kx + c}+d\) is \(y = d\) when \(b>0,b
eq1\).

Step2: Identify the value of \(d\) in the given function

For the function \(f(x)=2^{6x + 4}-5\), comparing with \(y = a\cdot b^{kx + c}+d\), we have \(a = 1\), \(b = 2\), \(k=6\), \(c = 4\), \(d=-5\).

Answer:

\(y=-5\)