{(-3, 2), (-2, 2), (1, 2), (-3, 1), (0, 3)}
Dom:
Range:
Function?

The domain of R is {-3,-2,1,-3,0}

The range of R is: {2,1,3}

The relation R is not a function

Step-by-step explanation:

Relations and Functions

We are given the ordered pairs of a relation, let's call it R:

R={(-3, 2), (-2, 2), (1, 2), (-3, 1), (0, 3)}

The domain of R is the set of values that relate to 1 or more elements from the range.

The domain of R is {-3,-2,1,-3,0}

The range of R is: {2,1,3}

Note the value 2 is repeated in the second set, but it's reported only once as part of the Range.

A relation is a function if each element of the domain appears in only one ordered pair, or relates to a single element in the Range.

The relation R is not a function, because the ordered pairs (-3, 2) and (-3, 1)

map the element -3 twice.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is