Find the range of the function.
-$$y = 4 x ^ { 8 }$$
A) $[ 4 , \infty )$
B) $( \infty , \infty )$
C) $[ - 4 , \infty )$
D) $[ 0 , \infty )$

Question

Quizplus · Accepted Answer

The function $y = 4x^8$ is a power function with an even exponent. For any real value of $x$, $x^8$ will always be non-negative (since any number raised to an even power is non-negative), and multiplying by 4 (a positive number) keeps it non-negative. The smallest value the function can take is 0 (when $x = 0$). Therefore, the range of the function is $[0, \infty)$.

Find the Range of the Function y=4x8y = 4 x ^ { 8 }y=4x8

Find the Range of the Function $y = 4 x ^ { 8 }$