question 1(multiple choice worth 2 points) (0...
question 1(multiple choice worth 2 points) (04.03 mc) identify the horizontal asymptote of f(x) = 3/5x. oy = 3/5 oy = 0 oy = 5/3 no horizontal asymptote
Answer
# Explanation:
## Step1: Recall horizontal - asymptote rule
For a rational function $f(x)=\frac{a}{x^n}$ ($n>0$), as $x\to\pm\infty$, we consider the limit.
## Step2: Calculate the limit
We have $f(x)=\frac{3}{5x}$. Calculate $\lim_{x\to\pm\infty}\frac{3}{5x}$. As $x$ approaches positive or negative infinity, the denominator $5x$ gets infinitely large, and the value of the fraction $\frac{3}{5x}$ approaches 0. So $\lim_{x\to\pm\infty}\frac{3}{5x}=0$.
# Answer:
B. $y = 0$