Continuity Notes 9.19.16

Question 1

What is the basic definition of continuity?

Answer 1

You should be able to draw the graph of the function without lifting your pencil.

Question 2

What is the actual definition of continuity?

Answer 2

A function is continuous if it is continuous at every point IN ITS DOMAIN

Question 3

What are the three benchmarks for deciding if there is continuity at a point?

Answer 3

1. The limit of the function approaching that point must exist
2. The function must exist once the point is plugged back in
3. The limit of the function approaching that point MUST EQUAL the function once the point is plugged back in

Question 4

What is another word for a HOLE?

Answer 4

Removable Discontinuity

Question 5

What are the four indicators of discontinuity at a point?

Answer 5

1. Hole
2. Jump
3. Vertical Asym.
   4 Oscilatting

Question 6

What are three examples where the limit does not exist?

Answer 6

1. Jump
2. Vert. Asym.
3. Oscillating

Question 7

Do HOLES have limits?

Answer 7

Yes

Question 8

What is the intermediate value theorem state?

Answer 8

If a function is on a closed interval [a,b] then you can make another function by drawing any horizontal line in between those two point starting on the y axis, and trace it till it hits the graph, using wherever it hits as the points.

Question 9

What’s another way to say the Intermediate Value Theorem?

Answer 9

Existence Theorem

Question 10

Actuar

Answer 10

To act

Question 11

Adivinar

Answer 11

To guess

Question 12

Alquilar

Answer 12

To rent

Question 13

Andar

Answer 13

To walk, go

Question 14

Apagar

Answer 14

To turn off the light

Question 15

Arreglar

Answer 15

To fix

Question 16

Ayudar

Answer 16

To help

Question 17

Bailar

Answer 17

To dance

Question 18

Bajar

Answer 18

To get off a bus

To go down

Question 19

Cambiar

Answer 19

To change

Question 20

Caminar

Answer 20

To walk

Question 21

Cantar

Answer 21

To sing

Question 22

Cenar

Answer 22

To have dinner

Question 23

Cocinar

Answer 23

To cook

Question 24

Comprar

Answer 24

To buy

Question 25

Contestar

Answer 25

To answer

Question 26

Continuar

Answer 26

To continue

Question 27

Cuidar

Answer 27

To take care of (people)

Question 28

Dejar

Answer 28

To leave

Question 29

Descensar

Answer 29

To rest, relax

Question 30

Desear

Answer 30

To wish

Question 31

Dibujar

Answer 31

To draw a picture

Question 32

Durar

Answer 32

To last

Question 33

Enseñar

Answer 33

To show; to teach

Question 34

Entrar

Answer 34

To enter

Question 35

Entregar

Answer 35

To deliver

Question 36

Enviar

Answer 36

To send

Question 37

Escuchar

Answer 37

To listen

Question 38

Esperar

Answer 38

To wait

Question 39

Esquiar

Answer 39

To ski

Question 40

Estudiar

Answer 40

To study

Question 41

Explicar

Answer 41

To explain

Question 42

Felicitar

Answer 42

To congragulate

Question 43

Fumar

Answer 43

To smoke

Question 44

Ganar

Answer 44

To win; to earn money

Question 45

Gastar

Answer 45

To spend (money)

Question 46

Gozar

Answer 46

To enjoy

Question 47

Guardar

Answer 47

To keep

Question 48

Hablar

Answer 48

To speak

Question 49

Lavar

Answer 49

To wash

Question 50

Limpiar

Answer 50

To clean

Question 51

Llamar

Answer 51

To call

Question 52

Llegar

Answer 52

To arrive

Question 53

Llenar

Answer 53

To fill

Question 54

Llevar

Answer 54

To bring

Question 55

Llorar

Answer 55

To cry

Question 56

Mandar

Answer 56

To send

Question 57

Mirar

Answer 57

To look; to watch (tv)

Question 58

Molestar

Answer 58

To bother

Question 59

Nadar

Answer 59

To swim

Question 60

Olvidar

Answer 60

To forget

Question 61

Pagar

Answer 61

To pay

Question 62

Pasar

Answer 62

To pass

Question 63

Patinar

Answer 63

To skate

Question 64

Pintar

Answer 64

To paint

Question 65

Preguntar

Answer 65

To ask (a question)

Question 66

Presentar

Answer 66

To present; introduce

Question 67

Prestar

Answer 67

To lend, loan

Question 68

Quemar

Answer 68

To burn

Question 69

Regalar

Answer 69

To give as a gift

Question 70

Regresar

Answer 70

To come back

Question 71

Revisar

Answer 71

To check

Question 72

Robar

Answer 72

To rob

Question 73

Sacar

Answer 73

To pull; to take (photographs)

Question 74

Saltar

Answer 74

To jump

Question 75

Saludar

Answer 75

To greet, to salute

Question 76

Solicitar

Answer 76

To solicit, ask for

Question 77

Tardar

Answer 77

To be late

Question 78

Terminar

Answer 78

To finish, end

Question 79

Tocar

Answer 79

To touch, to play an instrument

Question 80

Tomar

Answer 80

To take; to have (something to eat or drink)

Question 81

Trabajar

Answer 81

To work

Question 82

Tratar

Answer 82

To try; to treat

Question 83

Vacilar

Answer 83

To hesitate

Question 84

Variar

Answer 84

To vary

Question 85

Viajar

Answer 85

To travel

Question 86

Visitar

Answer 86

To visit

Question 87

Aprender

Answer 87

To learn

Question 88

Beber

Answer 88

To drink

Question 89

Correr

Answer 89

To run

Question 90

Deber

Answer 90

To owe; must, should

Question 91

Esconder

Answer 91

To hide

Question 92

Leer

Answer 92

To read

Question 93

Prometer

Answer 93

To promise

Question 94

Romper

Answer 94

To break

Question 95

Vender

Answer 95

To sell

Question 96

Abrir

Answer 96

To open

Question 97

Caer

Answer 97

To fall

Question 98

Traer

Answer 98

To bring

Question 99

Merecer

Answer 99

To deserve

Question 100

Parecer

Answer 100

To seem, appear

Question 101

Traducir

Answer 101

To translate

Question 102

Coger

Answer 102

To pick, seize, catch

Question 103

Escoger

Answer 103

To choose

Question 104

Recoger

Answer 104

To pick up

Question 105

Exigir

Answer 105

To demand

Question 106

Venir

Answer 106

To come

Question 107

Huir

Answer 107

To flee