Chapter 4, Problem 6PRE

(a)

To determine

To calculate: The domain of the function $z\left(x\right)=\frac{3x}{x+2}$.

(b)

To determine

To calculate: The range of the function, $z\left(x\right)=\frac{3x}{x+2}$.

(c)

To determine

To calculate: The x-intercept(s) of the function, $z\left(x\right)=\frac{3x}{x+2}$..

(d)

To determine

To calculate: The y-intercept(s) of the function $z\left(x\right)=\frac{3x}{x+2}$.

(e)

To determine

To calculate: The asymptotes of the function $z\left(x\right)=\frac{3x}{x+2}$. if applicable.

(f)

To determine

To calculate: The intervals over which the function $z\left(x\right)=\frac{3x}{x+2}$ is increasing.

(g)

To determine

To calculate: The intervals over which the function $z\left(x\right)=\frac{3x}{x+2}$ is decreasing.

(h)

To determine

To calculate: The match of the function $z\left(x\right)=\frac{3x}{x+2}$ with its graph.