use transformations to help graph the function ( y = - 4 ^ { - x } ). identify the domain, range, and…

use transformations to help graph the function ( y = - 4 ^ { - x } ). identify the domain, range, and horizontal asymptote. determine whether the function is increasing or decreasing.\nthe points ( left( - 1, \frac { 1 } { 4 } \right) ), ( ( 0,1 ) ), and ( ( 1,4 ) ) transform to the points ( ( - 1, - 4 ), ( 0, - 1 ), left( 1, - \frac { 1 } { 4 } \right) ).\n(type ordered pairs. use a comma to separate answers as needed.)\nuse the graphing tool to graph the function.\nwhat is the domain?\n(type your answer in interval notation.)

use transformations to help graph the function ( y = - 4 ^ { - x } ). identify the domain, range, and horizontal asymptote. determine whether the function is increasing or decreasing.\nthe points ( left( - 1, \frac { 1 } { 4 } \right) ), ( ( 0,1 ) ), and ( ( 1,4 ) ) transform to the points ( ( - 1, - 4 ), ( 0, - 1 ), left( 1, - \frac { 1 } { 4 } \right) ).\n(type ordered pairs. use a comma to separate answers as needed.)\nuse the graphing tool to graph the function.\nwhat is the domain?\n(type your answer in interval notation.)

Answer

Explanation:

Step1: Analyze the function type

The function (y = -4^{-x}) is an exponential function. For any exponential function of the form (y = a\cdot b^{kx}+c), the domain of an exponential function (y = b^{x}) (where (b>0,b\neq1)) is all real numbers. There is no restriction on the value of (x) for the function (y=-4^{-x}=-( \frac{1}{4})^{x}).

Answer:

((-\infty,\infty))