Determine whether the function is one-to-one.
-$$f ( x ) = \left( \frac { 1 } { 7 } \right) ^ { x }$$

Question

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The function $f(x) = \left( \frac{1}{7} \right)^x$ is one-to-one because for every unique input $x$, there is a unique output. This is a characteristic of exponential functions where the base is not equal to 1, and in this case, the base is $\frac{1}{7}$, which is a positive number different from 1.

Determine Whether the Function Is One-To-One f(x)=(17)xf ( x ) = \left( \frac { 1 } { 7 } \right) ^ { x }f(x)=(71​)x

Determine Whether the Function Is One-To-One $f ( x ) = \left( \frac { 1 } { 7 } \right) ^ { x }$