use technology to find points and then graph the function ( y = 2^{x}-4 ), following the instructions below…

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

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

Answer

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\neq1)), the horizontal asymptote is given by the equation (y = c). In the function (y = 2^{x}-4), (c=-4).

Answer:

(y=-4)