Find the function value. If the result is irrational, round your answer to the nearest thousandth.
-Let $f ( x ) = \left( \frac { 1 } { 3 } \right) ^ { x }$. Find $f \left( \frac { 5 } { 2 } \right)$.
A) $\frac { 5 } { 6 }$
B) $1.357$
C) $0.064$
D) $15.588$

Question

Quizplus · Accepted Answer

The function $f(x) = \left( \frac{1}{3} \right)^x$ evaluated at $x = \frac{5}{2}$ is $\left( \frac{1}{3} \right)^{\frac{5}{2}}$. This equals $\sqrt{\left( \frac{1}{3} \right)^5} = \sqrt{\frac{1}{243}} \approx 0.064$, when rounded to the nearest thousandth.

Find the Function Value f(x)=(13)xf ( x ) = \left( \frac { 1 } { 3 } \right) ^ { x }f(x)=(31​)x

Find the Function Value $f ( x ) = \left( \frac { 1 } { 3 } \right) ^ { x }$