Chapter 14, Problem 31RE

To determine

To find:

The domain D and the range R of the function f

Answer to Problem 31RE

domain $\left\{x:-6\le x\le 6\right\}$ Range = $\left\{y:-1\le y\le 2\right\}$

Explanation of Solution

Given:

The points of the graph is

  $\left(-6,2\right),\left(-2,2\right),\left(-4,1\right)\left(1,-\infty \right)$

Concept used:

The set of all x- values that a function passes through.also the left coordinate in a coordinate in a coordinate pair

The set of all x- values that a function passes through.also the left coordinate in a coordinate in a coordinate pair

Calculation:

The smallest number that the square root of that is still in the real number system, which of course is zero

So, that is the smallest, legal x value which is the lower limit of domain

There is no maximum x value so the upper limit of domain is positive infinity

So, domain $\left\{x:-6\le x\le 6\right\}$

Range = $\left\{y:-1\le y\le 2\right\}$