Question

Which graph represents the function?

g(x)={x      if  x<2 −3   if  x≥2

A. https://static.k12.com/nextgen_media/assets/1487006-IM2_140430_040606.jpg

B. https://static.k12.com/nextgen_media/assets/1487007-IM2_140430_040607.jpg

C. https://static.k12.com/nextgen_media/assets/1487008-IM2_140430_040608.jpg

D. https://static.k12.com/nextgen_media/assets/1487005-IM2_140430_040605.jpg

Answer 1

@mikewwe13

−3   if  x≥2

means that, y = -3 for every x greater than or equal to 2

how would we represent this on a graph?

Answer 2

it would mean to B to by graphing the function that represents it

Answer 3

please answer my question

Answer 4

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Vocaloid
@mikewwe13

−3   if  x≥2

means that, y = -3 for every x greater than or equal to 2

how would we represent this on a graph?
\(\color{#0cbb34}{\text{End of Quote}}\)

Answer 5

would we use a closed circle/open circle? where would the graph be? which direction would the graph go?

Answer 6

correct me if i'm wrong, it would go upward the direction the graph go

Answer 7

if y = a constant like -3, the graph is a straight horizontal line

Answer 8

so it would be a closed circle starting from (2,-3) and extending straight to the right

Answer 9

now, how would you graph y = x for x < 2?

Answer 10

by putting in slope intercept form

Answer 11

it's already in slope intercept form

Answer 12

what would the graph of y = x look like for x < 2?

Answer 13

cause it would look straight

Answer 14

again, what would the graph look like? where would its intercepts be? what would its slope be?

Answer 15

if you are in doubt, try plugging in some x-values to see what y-values you get

Answer 16

ok so Since a horizontal line never moves up or down, its y-coordinates never change. so That means if i'm correct the "change in y-coordinates" is 0.

Answer 17

y = x is not a horizontal line

Answer 18

y = -3 is

Answer 19

we are talking about y = x now for x < 2

Answer 20

one more time, what would the graph of y = x look like, for x < 2? what would its slope and intercepts be?

Answer 21

the graph of y =x would like for x < 2 going straight on the top but let me tell you something i'm not very good wit this

Answer 22

all i'm doing causing you to be fraustrated

Answer 23

Nah, you're good, piece wise functions can be a bit tricky ^^

Answer 24

start by plugging in x-values

x = -1, 0, 1

what are the y-values for these? if y = x?

Answer 25

if y = x
and x = -1

what is y?

Answer 26

2

Answer 27

y = x

this means "y is equal to x"

so if x = -1, what is y?

Answer 28

y is 0

Answer 29

"y is EQUAL to x"

Answer 30

so if x = -1, what is y equal to?

Answer 31

to x

Answer 32

sorry man

Answer 33

good, and what number is that?

Answer 34

what number is y equal to if y is equal to x?

Answer 35

-1

Answer 36

awesome

so if x = 0, what is y equal to?

Answer 37

1

Answer 38

again, "y is equal to x"

Answer 39

right x

Answer 40

i was just forgetting at the moment

Answer 41

-1 correct me

Answer 42

y is equal to the same number x is

so if x = 0, then what is y equal to?

Answer 43

y = x

if x = 0, then y= ?

Answer 44

x

Answer 45

what number is y equal to?

Answer 46

y = x means that whatever number x is equal to, y is equal to it as well

Answer 47

so if x = 0 then what number is y equal to?

Answer 48

y = x

this means that, whatever number x is, y will also be that same number

if x = 5, y = 5

if x = 3241818571 then y also equals 3241818571

if x = smiley face, then y also equals smiley face

Answer 49

so if x = 0, what does y equal?

Answer 50

@mikewwe13

Answer 51

please could you tell me the answer

Answer 52

i need help with more

Answer 53

i'm sorry but i need more help

Answer 54

sorry i was busy with something

Answer 55

try to think a little harder about what I have said so far

Answer 56

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Vocaloid
y = x

this means that, whatever number x is, y will also be that same number

if x = 5, y = 5

if x = 3241818571 then y also equals 3241818571

if x = smiley face, then y also equals smiley face
\(\color{#0cbb34}{\text{End of Quote}}\)

Answer 57

following this same logic, if x = 0, then what number does y = ?

Answer 58

the answer is C

Answer 59

again... try following my logic

Answer 60

"y = x" means that y equals the SAME number that x equals

so if x = 0, y = ?

Answer 61

I am not going to just tell you the answer.

Answer 62

x

Answer 63

what number does y equal?

Answer 64

x

Answer 65

x is not a number , it is a variable

Answer 66

try looking at my example one more time please

Answer 67

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Vocaloid
\(\color{#0cbb34}{\text{Originally Posted by}}\) @Vocaloid
y = x

this means that, whatever number x is, y will also be that same number

if x = 5, y = 5

if x = 3241818571 then y also equals 3241818571

if x = smiley face, then y also equals smiley face
\(\color{#0cbb34}{\text{End of Quote}}\)
\(\color{#0cbb34}{\text{End of Quote}}\)

Answer 68

follow this pattern:

Answer 69

x = 7, y = 7
x = 25, y = 25
x = -100, y = -100
x = triangle, y = triangle

x = 0, y = ?

Answer 70

if x = 0, y = ?

use the logic from the examples I have shown.

Answer 71

I really don't know how to make this simpler :(

Answer 72

if x equals 7, then y equals 7
if x equals 25, then y equals 25
if x equals -100, then y equals -100
if x equals 0, then y equals ____

fill in the blank

Answer 73

do you see any sort of pattern at all? what's the relation between y and x?

Answer 74

-1

Answer 75

do you see how x and y are always equal to the same number?

Answer 76

so if x equals 0, what does y equal? remember that x and y are always equal to the <<<same>>> <<<number>>>

Answer 77

the answer is NOT -1 by the way.

Answer 78

try to think hard about the pattern that's going on

Answer 79

if x equals (thing) then y equals (thing)
if x equals 7, then y equals 7 (the same number that x equals)
if x = -10, then y equals -10 (the SAME number that x equals)

if x = 0, then y equals ___ (the SAME number that x equals)

fill in the blank. If you still can't get it then take a break and come back to it.

Answer 80

1

Answer 81

please read slowly and carefully

Answer 82

line by line

Answer 83

if x equals (thing) then y equals (thing)

Answer 84

if x equals 7, then y equals 7

Answer 85

if x = -10, then y equals -10

Answer 86

7

Answer 87

-10

Answer 88

if x = 0, then y = ?

Answer 89

it equals the same number

Answer 90

you're getting closer! if x = 0, then y = ?

Answer 91

it equals 0

Answer 92

yes, great!

Answer 93

because x and y always equal the same number

Answer 94

now, if x = 1, then y = ?

Answer 95

i've missed that the entire time i was too busy not focusing

Answer 96

1

Answer 97

awesome! now we have some points we can graph

Answer 98

(-1,1) (0,0) and (1,1)

let's try plotting these

Answer 99

since x < 2 we leave an open circle at x = 2

Answer 100

now let's combine that with the rest of the problem

Answer 101

which answer choice best matches what I have drawn?

Answer 102

D.

Answer 103

awesome, that's it!

can you close this and start a new question please

Answer 104

YES SIR