# Chapter 2 - Section 2.4 - Linear Functions - 2.4 Exercises - Page 211: 5

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

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