Chapter 3 - Section 3.6 - Rational Functions - 3.6 Exercises - Page 308: 22

$x$-intercept: $0$ $y$-intercept: $0$

$s(x)=\dfrac{3x}{x-5}$ Substitute $s(x)$ by $y$: $y=\dfrac{3x}{x-5}$ To find the $y$-intercept, set $x$ equal to $0$ and solve for $y$: $y=\dfrac{3(0)}{0-5}=\dfrac{0}{-5}=0$ To find the $x$-intercept, set $y$ equal to $0$ and solve for $x$: $0=\dfrac{3x}{x-5}$ $(0)(x-5)=3x$ $0=3x$ $x=0$ $x$-intercept: $0$ $y$-intercept: $0$