Question

*Problems Checked #'s 1 - 10A.* Need 10B. - the rest of packet checked*

I need serious help on this packet, because I kind of get it, but at the same time I don't really understand it. I answered some of the questions which need to be checked for correctness and the ones that I don't have answers for, I need help on those. *If you need to explain each problem, so I have a better idea of what they are talking about on the packet.*

*My Answers are in a PDF File*

Answer 1

sorry,but im horrible at math

Answer 2

whenever you have two intervals you want to glue together, you have to use the union U symbol

Answer 3

Okay what question(s) have the union symbol?

Answer 4

for example, you have [-6,-3] [-2,6] for #2 when it should be [-6,-3] U [-2,6]

there are others like this

Answer 5

@jim_thompson5910 like #3, 4a, 4c?, & 5

Answer 6

yes and your #5 is off a bit (even if you ignore the fact that there are no union symbols)

Answer 7

is #5 wrong?

Answer 8

yes it is

Answer 9

what should the answer be? The answer in parenthese is for my teacher

Answer 10

did you draw in the line y = x?

Answer 11

for #5

Answer 12

yes, on that graph they give you

Answer 13

no I didn't graph y = x

Answer 14

what am I looking for?

Answer 15

f(x) > x means y > x

Answer 16

y > x is the region above the line y = x

it does NOT include the line itself

Answer 17

so am I looking for stuff above the y = x line

Answer 18

yes, anywhere where there is a piece of the f(x) function curve that is in that region

Answer 19

so basically this green region

be sure to exclude any points found on the red y = x line

Answer 20

@jim_thompson5910 so basically [-6, -2] U [2] right?

Answer 21

not quite, try again

Answer 22

is the first one right at least? What about [-2, 2]?

Answer 23

you somehow jumped the gap when you said [-6, -2]

Answer 24

there is nothing on the interval (-3,-2)

Answer 25

was [-6,-2] wrong?

Answer 26

yes because you're including x values that aren't part of the domain (look at the gap)

Answer 27

Well what format should I use? [ ] or ( ) or [ ) or ( ]

Answer 28

part of the green region I shaded is [-6,-3]

notice how I stop at -3 and do NOT go to -2

-2 is part of the green region, but on another sub-interval

Answer 29

@jim_thompson5910 so is [-6,-3] the only answer for number 5, what about the coordinate point (2,3)

Answer 30

[-6,-3] is part of the answer for #5

Answer 31

you just need to list the interval for the green region I marked

Answer 32

intervals I mean

Answer 33

there are holes at both ends of that sub-interval

Answer 34

2 isn't included either (notice the hole at 2)

Answer 35

no, you use parenthesis for open holes

Answer 36

[] is used for closed holes

Answer 37

no

Answer 38

its close

Answer 39

there is an open hole anywhere there is a point on the red line

Answer 40

yes, (2,3) is part of the answer as well

Answer 41

there's one more part to the answer for #5

Answer 42

nearly there

Answer 43

there's one missing piece

Answer 44

again, you're looking for any piece of f(x) that is above the red line

Answer 45

@jim_thompson5910 Do I need to put U in between each interval

Answer 46

yes

Answer 47

tell me what you get

Answer 48

that's already part of [-6,-3]

so it's redundant. That's not what the missing piece is

Answer 49

(-2,-1)

Answer 50

close, but this time there's actually a closed hole at -2, so we include it

so [-2,-1)

Answer 51

all together, the entire interval is

[-6,-3] U [-2,-1) U (2,3)

this describes all the x values that make f(x) > x true

Answer 52

@jim_thompson5910 for #5 should be [-6,-3] U [-2,-1) U (2,3). I wanted to make sure it was the answer for #5

Answer 53

is number 6 - 10 checked out okay?

Answer 54

yes that's the answer to #5 and 6-10 looks good too

Answer 55

@jim_thompson5910 does #3, 4a, and 4c need to have the union symbol in between them and isn't 10b suppose to be 5?

Answer 56

" does #3, 4a, and 4c need to have the union symbol in between them"

yes we already talked about this

Answer 57

oh and I didn't see #10, one sec

Answer 58

10a is partially incorrect

Answer 59

10b is incorrect

Answer 60

10c is incorrect

Answer 61

10b is 5 right

Answer 62

x = 5 is correct for f(x) but not g(x)

Answer 63

is 10a. -3 and 2

Answer 64

g(-4) = f[-(-4)] = f(4) = ???

Answer 65

3 and 0

Answer 66

yes, for 10a

Answer 67

so if 5 = f(x); what ? = g(x)

Answer 68

what do you mean?

Answer 69

for 10b is not 5 or 3 right

Answer 70

find the max on f(x), then reflect over the y axis

Answer 71

the max is 5 or 3, so I reflect 3 and I get -4

Answer 72

@Firejay5 Suggestion: Make a list of those problems that still need checking or work and post those problems numbers. It is hard to know which problems have already been checked and which have not.

Answer 73

@Directrix @satellite73 @freckles @ganeshie8 @Luigi0210 I posted the problems that were checked and not checked at the top of the question.

Answer 74

Wow thats alot of talking