Question

use technology to find points and then graph the function ( y = 2^{x}-4 ), following the instructions below. equation of asymptote: ( y=square )

Explanation:

Step1: Recall the general form of an exponential function

The general form of an exponential function is \(y = a\cdot b^{x}+c\). For the function \(y = 2^{x}-4\), it is in the form \(y = 1\cdot2^{x}+(- 4)\).

Step2: Determine the horizontal asymptote

For an exponential function \(y = a\cdot b^{x}+c\) (\(b>0,b
eq1\)), the horizontal asymptote is given by the equation \(y = c\). In the function \(y = 2^{x}-4\), \(c=-4\).

Answer:

\(y=-4\)