Provide an Appropriate Response $\mathrm { f } ( \mathrm { x } ) = \sqrt { 9 - \mathrm { x } ^ { 2 } } , 0 \leq \mathrm { x } \leq 1$

Multiple Choice

Provide an appropriate response.
-Consider the graph of $\mathrm { f } ( \mathrm { x } ) = \sqrt { 9 - \mathrm { x } ^ { 2 } } , 0 \leq \mathrm { x } \leq 1$ . What symmetry does the graph have? Is $\mathrm { f }$ its own inverse?

A) The graph of $\mathrm { f }$ has no symmetry. The function $\mathrm { f }$ is not its own inverse because there is no symmetry.
B) The graph of $\mathrm { f }$ is symmetric with respect to the $\mathrm { y }$ -axis. The function $\mathrm { f }$ is not its own inverse because $( f \circ f ) ( x ) = | x |$ .
C) The graph of $\mathrm { f }$ is symmetric with respect to the $y$ -axis. The function $\mathrm { f }$ is its own inverse because (f $\circ f ) ( x ) = x$ .
D) The graph of $\mathrm { f }$ is symmetric with respect to the line $\mathrm { y } = \mathrm { x }$ . The function $\mathrm { f }$ is its own inverse because (f of $) ( x ) = x$ .