find the horizontal asymptote(s), if any, of the graph of the rational function. f(x)=-5x - 3/3x + 4 a…

Explanation:

Step1: Identify degrees of polynomials

The degree of the numerator $-5x - 3$ and the denominator $3x+4$ is 1 (since the highest - power of $x$ in both is 1).

Step2: Use the horizontal - asymptote rule for equal degrees

For a rational function $f(x)=\frac{a_nx^n+\cdots+a_0}{b_nx^n+\cdots + b_0}$ where $n$ is the degree of the numerator and denominator and $n\gt0$, the horizontal asymptote is $y = \frac{a_n}{b_n}$. Here, $a_n=-5$ (the leading coefficient of the numerator) and $b_n = 3$ (the leading coefficient of the denominator). So, $y=\frac{-5}{3}$.

Answer:

C. $y =-\frac{5}{3}$