Question

Which graph shows y = 2 ⌊x⌋ + 1 ?

A. https://static.k12.com/nextgen_media/assets/8076105-NG_AL1_Q_03_U04_Quiz_06.png

B. https://static.k12.com/nextgen_media/assets/8076106-NG_AL1_Q_03_U04_Quiz_07.png

C. https://static.k12.com/nextgen_media/assets/8076104-NG_AL1_Q_03_U04_Quiz_05.png

D. https://static.k12.com/nextgen_media/assets/8076107-NG_AL1_Q_03_U04_Quiz_08.png

Answer 1

remember, ⌊x⌋ means round down to the nearest integer

Answer 2

so ⌊0⌋ rounded to the nearest integer is still 0

so if x = 0 then y = 2 ⌊x⌋ + 1 = ?

Answer 3

x=1/2 y+ −1/2

i had to organize it

Answer 4

let's try one more time

Answer 5

⌊0⌋ = 0
so when x = 0, then:

y = 2 ⌊x⌋ + 1 = 2⌊0⌋ + 1 = ?

your answer should be one number.

Answer 6

x=0 and y=2

Answer 7

try one more time

Answer 8

remember, ⌊0⌋ = 0

Answer 9

2⌊0⌋ + 1 = ?

Answer 10

1

Answer 11

good (sorry, for some reason notifications aren't working)

Answer 12

so which graph(s) crosses(0,1) on it?

Answer 13

B.

Answer 14

be careful. which graph(s) has the point (0,1) on it?

Answer 15

look at each of the graphs slowly and carefully. there's no rush.

Answer 16

keep in mind, an open circle (o) on (0,1) does not count, since the function is not defined at that point

Answer 17

D.

Answer 18

which graphs have a point (black dot) on (0,1)?

Answer 19

take your time, you'll do better if you slow down.

Answer 20

IT'S C

Answer 21

there's one more possibility besides C

Answer 22

check all the graphs again slowly and carefully.

Answer 23

i was going with a but now since it ain't C, B, or D there's only one left

Answer 24

good, so A and C are both candidates so far

Answer 25

now to choose between A and let's try letting x = 0.5

Answer 26

what is 0.5 if we round down to the nearest integer?

Answer 27

0.5

Answer 28

what's the greatest integer that is less than 0.5?

Answer 29

5

Answer 30

5 is not less than 0.5

Answer 31

we are looking for the biggest integer that is LESS than 0.5

Answer 32

here are examples of integers if you are still confused

Answer 33

-3 or -4 correct me

Answer 34

you're getting closer but not quite

Answer 35

we want the ~biggest~ integer that is still less than 0.5

-3 and -4 are less than 0.5, but they're not the biggest possible integers

Answer 36

hint: here is 0.5 on the number line

Answer 37

it's 1 2

Answer 38

let's try one more time! remember, we want an integer that is LESS than 0.5

Answer 39

1 and 2 are bigger than 0.5 so they can't be the answer

Answer 40

1/2

Answer 41

1/2 is not an integer

Answer 42

f(w) = 0.5(35 - 2w)

this what i did

Answer 43

hint: integers are:

positive whole numbers: 1,2,3,4,5
negative whole numbers: -1,2,3,4,5
and 0

Answer 44

the f(w) has nothing to do with this problem

Answer 45

what is the biggest integer that is less than 0.5?

Answer 46

i don't know, i've tried

Answer 47

i have a lot of questions to ask

Answer 48

start listing integers that are less than 0.5, starting from -3

-3,-2,-1...etc.

pick the biggest integer that is still less than 0.5

Answer 49

-2

Answer 50

the ~biggest~ integer, that is still less than 0.5

Answer 51

here is a list of integers that are less than 0.5

-3,-2,-1,0

which one is the greatest?

Answer 52

I have to study for midterms, try thinking about this problem and get back to me later

Answer 53

@sillybilly123 @Nnesha if you guys are free ;_;