What is the range of the function $y = \left( \frac { 1 } { 5 } \right) ^ { x }$?
A) $( \infty , 0 )$
B) $( \infty , \infty )$
C) $( 0 , \infty )$
D) $[ 0 , \infty )$

Question

Quizplus · Accepted Answer

The function $y = \left( \frac { 1 } { 5 } \right) ^ { x }$ is an exponential function with a base between 0 and 1, which means as $x$ increases, $y$ decreases towards 0 but never actually reaches 0, and as $x$ decreases, $y$ increases towards infinity. Therefore, the range is all positive numbers $(0, \infty)$.

What Is the Range of the Function y=(15)xy = \left( \frac { 1 } { 5 } \right) ^ { x }y=(51​)x

What Is the Range of the Function $y = \left( \frac { 1 } { 5 } \right) ^ { x }$