Lets start with the first half of each statement. We know function <em>f </em>is going up when <em>x </em>is negative. Function <em>g</em> also has to be going up when <em>x </em>is negative because there is no <em>x</em> intercept. This means it can not go down.
Because of this, we can eliminate answer A and B.
Now for the second half of the statements.
Function <em>f </em>starts to even out as <em>x</em> goes up. Function <em>g</em> also has to start leveling out since there is not x-intercept.
Since these graphs are similar in both ways, it has to be C.