Chapter EP, Problem 2.1.3EP

To determine

To Find: The domain and the range of each relation, then determine if the relation is function and determine if the function is one to one, onto, both or neither.

Answer to Problem 2.1.3EP

Thedomain is $\left\{-1,0,2\right\}$ and the range is $\left\{-2,1,3\right\}$ . The domain is paired with many number of the range so the relation is not the function.

Explanation of Solution

Given:

Thegiven figure is shown in Figure 1

Figure 1

Calculation:

From the given figure the graph cuts the x axis at the points are

  $\left\{\left(0,-2\right),\left(-1,-2\right),\left(0,1\right),\left(2,-2\right),\left(0,3\right)\right\}$ .

The domain of the equation is,

  $\left\{-1,0,2\right\}$

The range of the equation is,

  $\left\{-2,1,3\right\}$

The domain is paired with many number of the range so the relation is not the function.