Provide an Appropriate Response $\mathrm { f } ( \mathrm { x } )$

Multiple Choice

Provide an appropriate response.
-If $\mathrm { f } ( \mathrm { x } )$ is one-to-one, can anything be said about $h ( x ) = 6 f ( x ) + 3$ ? Is it also one-to-one? Give reasons for your answer.

A) Yes, $h ( x )$ will be one-to-one. For every distinct value of $f ( x )$ there is one distinct value of $h ( x )$ .
B) No, $h ( x )$ will not be one-to-one. The function $h ( x )$ assumes the same value for at least two different $f ( x )$ -values.
C) Yes, $h ( x )$ will be one-to-one. The inverse of $f ( x )$ is $h ( x )$ and is therefore one-to-one.
D) No, $h ( x )$ will not be one-to-one. The function $h ( x )$ does not pass the horizontal line test.