Domain, Range, Relation, & Functions Part I.
1. What is the domain and range of the following relation?
{(-1,2), (2,51), (1,3) , (8,22) , (9,51)} Domain:
Range:

2. What is the domain and range of the following relation?
{(-5,6), (21,-51), (11,93) , (81,202) , (19,51)} Domain:
Range:
Part II.
1. Which relations below are functions?
Relation #1: {(-1,2) , (-4,51) , (1,2) , (8,-51)}
Relation #2: {(13,14) , (13,5) , (16,7) , (18,13)}
Relation #3: {(3,90) , (4,54) , (6,71) , (8,90)}

2. Which relations below are functions?
Relation #1: {(3,4) , (4,5) , (6,7) , (8,9)}
Relation #2: {(3,4) , (4,5) , (6,7) , (3,9)}
Relation #3: {(-3,4) , (4,-5) , (0,0) , (8,9)}
Relation #4: {(8,11) , (34,5) , (6,17) , (8,19)}

3. Which relations below are functions?
Relation #1: {(3,4) , (4,5) , (6,7) , (3,-9)}
Relation #2: {(3,4) , (4,5) , (6,7) , (5,4)}
Relation #3: {(0,4) , (4,-5) , (0,0) , (8,9)}
Relation #4: {(8,11) , (34,5) , (6,17) , (8,19)}

4. For the following relation to be a function, X cannot be what values?

{(8,11) , (34,5) , (6,17) , (X,22)}

5. For the following relation to be a function, X cannot be what values?

{(12,13) , (-11,22) , (33,101) , (X,22)}

Part III.

Function or Not.
1.
Function: 2. Function:

b

step-by-step explanation:

the word superfluous means unnecessary

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

step-by-step explanation:

there are 36 inches in a yard

25 : 36 = 0.69 yards (you can round to 0.70)

answer: ay  

fonsi  

dy  

oh

oh no, oh no

oh yeah

diridiri, dirididi daddy  

go

sí, sabes que ya llevo un rato mirándote  

tengo que bailar contigo hoy (dy)  

vi que tu mirada ya estaba llamándome  

muéstrame el camino que yo voy (oh)

tú, tú eres el imán y yo soy el metal  

me voy acercando y voy armando el plan  

solo con pensarlo se acelera el pulso (oh yeah)

ya, ya me está gustando más de lo normal  

todos mis sentidos van pidiendo más  

esto hay que tomarlo sin ningún apuro

despacito  

quiero respirar tu cuello despacito  

deja que te diga cosas al oído  

para que te acuerdes si no estás conmigo

despacito  

quiero desnudarte a besos despacito  

firmo en las paredes de tu laberinto  

y hacer de tu cuerpo todo un manuscrito (sube, sube, sube)

(sube, sube)