Chapter 5.3, Problem 73E

(a)

To determine

To sketch: The graph of the function $f\left(x\right)=\frac{10x+1}{x+1},\text{ where }x\ge 0$ in the window $\left[0,14\right]\text{ by }\left[0,14\right]$ and find the equation of horizontal asymptote.

(b)

To determine

The initial insect population modeled by the function $f\left(x\right)=\frac{10x+1}{x+1},\text{ where }x\ge 0$ is in months and $f\left(x\right)$ is in millions.

(c)

To determine

The insect population after several months when the insect population modeled by the function $f\left(x\right)=\frac{10x+1}{x+1},\text{ where }x\ge 0$ is in months and $f\left(x\right)$ is in millions.

(d)

To determine

To interpret: The horizontal asymptote of the function $f\left(x\right)=\frac{10x+1}{x+1},\text{ where }x\ge 0$ is in months and $f\left(x\right)$ represents insect population.