The given table corresponds to the function $f ( x ) = 10 ^ { x - 1 }$ . $\begin{array} { | l | l | l | l | l | l | l | l | }
\hline \boldsymbol { x } & - 3 & - 2 & - 1 & 0 & 1 & 2 & 3 \
\hline \boldsymbol { f } ( \boldsymbol { x } ) & 0.0001 & 0.001 & 0.01 & 0.1 & 1 & 10 & 100 \
\hline
\end{array}$

Question

The given table corresponds to the function $f ( x ) = 10 ^ { x - 1 }$ . $\begin{array} { | l | l | l | l | l | l | l | l | } 
\hline \boldsymbol { x } & - 3 & - 2 & - 1 & 0 & 1 & 2 & 3 \
\hline \boldsymbol { f } ( \boldsymbol { x } ) & 0.0001 & 0.001 & 0.01 & 0.1 & 1 & 10 & 100 \
\hline
\end{array}$

Quizplus · Accepted Answer

The values of $f(x) = 10^{x-1}$ correctly correspond to the given $x$ values in the table, as each $f(x)$ value is $10$ raised to the power of $(x-1)$, resulting in the sequence 0.0001, 0.001, 0.01, 0.1, 1, 10, 100 for $x$ values -3, -2, -1, 0, 1, 2, 3 respectively.

The Given Table Corresponds to the Function f(x)=10x−1f ( x ) = 10 ^ { x - 1 }f(x)=10x−1

The Given Table Corresponds to the Function $f ( x ) = 10 ^ { x - 1 }$