Question
Make a hand-drawn graph. Be sure to label all the asymptotes. List the domain and the $x$ -intercepts and the $y$ -intercepts. Check your work using $a$ graphing calculator.$$f(x)=\frac{3 x}{x^{2}+5 x+4}$$
Step 1
The $y$-intercept is found by setting $x=0$ in the function and solving for $y$. So, we substitute $x=0$ into the function $f(x)=\frac{3x}{x^{2}+5x+4}$, we get $f(0)=\frac{3(0)}{(0)^{2}+5(0)+4}=0$. Therefore, the $y$-intercept is $(0,0)$. Show more…
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