Chapter 4, Problem 10PRE

(a)

To determine

To calculate: The domain of the function, $n\left(x\right)=-\left|x\right|+3$.

(b)

To determine

To calculate: The range of the function, $n\left(x\right)=-\left|x\right|+3$.

(c)

To determine

To calculate: The x-intercept(s) of the function $n\left(x\right)=-\left|x\right|+3$.

(d)

To determine

To calculate: The y-intercept(s) of the function, $n\left(x\right)=-\left|x\right|+3$.

(e)

To determine

To calculate: The asymptotes of $n\left(x\right)=-\left|x\right|+3$ if applicable.

(f)

To determine

To calculate: The intervals over which the function $n\left(x\right)=-\left|x\right|+3$ is increasing.

(g)

To determine

To calculate: The intervals over which the function $n\left(x\right)=-\left|x\right|+3$ is decreasing.

(h)

To determine

To calculate: The match of the given function with its graph.