## College Algebra (11th Edition)

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 $f(x)=5\times0=0$