Identify the graph of the function.
$f ( x ) = \left( \frac { 1 } { 2 } \right) ^ { 1 - x }$

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The function is an exponential function with a base of $\frac{1}{2}$ and a negative exponent ($1-x$). This means that as $x$ increases, the value of the function decreases rapidly towards 0 but never touches it. So we look for a graph that shows rapid decay as $x$ increases towards infinity. Only graph B fits this description. The other graphs either show growth (graphs A and D) or no change (graphs C and E).

Identify the Graph of the Function f(x)=(12)1−xf ( x ) = \left( \frac { 1 } { 2 } \right) ^ { 1 - x }f(x)=(21​)1−x

Identify the Graph of the Function $f ( x ) = \left( \frac { 1 } { 2 } \right) ^ { 1 - x }$