Question

Let S = {−1, 0, 2, 4, 7}. Find f (S) if
a) f (x) = 1.
b) f (x) = 2x + 1.
c) f (x) = x /5.
d) f (x)=(x2 + 1)/3.

Answer 1

btw the x/5 is a floor function

Answer 2

no wait ceiling...

Answer 3

you would plot or you just need the results? or what is the question? :)

Answer 4

they dont ask for plot :)
i think i got some of them but the C is a celinig function and the last is a floor function

Answer 5

those are the ones that i dont

Answer 6

get*

Answer 7

this is not ceiling or floor function

Answer 8

no i mean i cant type it ... but its on my book

Answer 9

:) got it, so x/5 is taken as ceiling or floor, and which one, it matters.

Answer 10

X/5 it has ceiling function, the last one is floor

Answer 11

so we have x/5 ceiling means the smallest int not less than x (which is not x/5)

Answer 12

something like this, would it be OK?

Answer 13

where did you stuck with the 4th?

Answer 14

uhm idnt need to plot, i need the values, so for S=-1 it turns into -1/5 but ... since it s celinig function .. what would the answer be?

Answer 15

I would not try to draw it :) but if we think together you can find out the results

Answer 16

so in 3rd the -1 goes -1/5 and ceiling is the largest int not greater than -1/5 which is that, integer, but not greater than -1/5?

Answer 17

that same value?

Answer 18

:) sorry I wrote wrong, ceiling is the smallest int not less than x :)
the plot was good

Answer 19

-1 is int, but less than -1/5 so 0 is the good number.

Answer 20

you simply checks the two integers around it and you can find.

Answer 21

ohhhh it has to be integers right? ... good good. imma try to do it, thank you <3

Answer 22

yes, that is why the plot shows only horizontal lines. notice the blank circle and the full circle at the ends of the lines.

Answer 23

let's check the 4th one, with -1. (x2+1)/3

Answer 24

that has the floor, right?

Answer 25

yes, can i just ask you if my ansers r corret?

Answer 26

i have 0,0,1,1,2 as answers for each value of S

Answer 27

I do not know your answer. I think you will do it and if the logic is not good I may be able to fix it.

Answer 28

in case of the 4th function?

Answer 29

4th function is floor function. Are my answers right?

Answer 30

I do not think so 0,0,1 are OK, but how did you make the last two numbers? how did you calculate?

Answer 31

4/5 = 0.8 so it cant be 0 because is less than x aight?

Answer 32

x=4 x2=16 x2+1=17 (x2+1)/3=5,667 and ... 4th function and you seem to do the 3rd

Answer 33

im doing the third function still

Answer 34

those were my answers to the third function

Answer 35

ok, then I agree 0,0,1,1,2

Answer 36

for the 4th function i have 0,0,1,5,16, is that okay?

Answer 37

yes that is it, thank you.

Answer 38

omg thank you, u saved my life here, i can actually study for my test now :) thank yu thank you!

Answer 39

good luck