Answer
A
Work Step by Step
If the function passes throw the origin, this means that it has x-intercept and also y-intercept 0.
Therefore, we let x=0 and f(x)=0. By substituting these values in the function, it must be true.
Also, this is a linear function, so both x and y must be raised to the first power.
The only such function is A.
$f(x)=5x$, if $x=0$, then $f(x)=5\times0=0$
