Question

I tottally neeed somee help :(

Answer 1

(i.) f(x)

(ii.) f(x)

(iii.) What can you conclude about f(x)? How is this shown by the graph?

(iv.) What aspect of costs of renting a car causes the graph to jump vertically by the same amount at its discontinuities?

Answer 2

@ganeshie8 can you help?

Answer 3

is that the whole question ?

Answer 4

yea !!

Answer 5

okay :) wat does x-axis represent here ?
and y-axis represent ?

Answer 6

Im honestly not sure :(

Answer 7

me too.. usually they tell wat they represent in the question itself

Answer 8

the listed four options... those are the ones your supposed to answer is it ?

Answer 9

im suppose to answer all of them questions!!!

Answer 10

okay did u notice, i and ii are same !

Answer 11

On the left side of the graph it says Cost (dollars)!

Answer 12

no there not i has - after 60 ii has + after 60

Answer 13

well from where this 60 popped up all of sudden ? :)

Answer 14

i dont see it in any of ur FOUR questions your supposed to answer :o

Answer 15

omg im sorry i didnt post all of it ..gimme a sec im so soory

Answer 16

okay lol

Answer 17

(i) \[\lim_{x \rightarrow 60-} f(x) \]

Answer 18

(ii)\[\lim_{x \rightarrow 60+} f(x)\]

Answer 19

ty now these make sense

Answer 20

(iii.) What can you conclude about \[\lim_{x \rightarrow 60} f(x) \]? How is this shown by the graph?

Answer 21

(iv.) What aspect of costs of renting a car causes the graph to jump vertically by the same amount at its discontinuities?

Answer 22

those are all 4 im sorry

Answer 23

have a look at graph,
at x=60 wats the value of function ?

Answer 24

56?

Answer 25

thats right ! cuz we see a thick circle at 56, and an open circle at 68
so the value is 56.

Answer 26

were doing i first right?

Answer 27

now we starting first one.

for i)
look at graph again,
this time look at SURROUNDING values at x=60, and answer below :-
wat value the function has on left side at x=60 ?
wat value the function has on right side at x=60 ?

Answer 28

56?
68?

Answer 29

yup !
so the left side limit is 56

\(\large \lim_{x \rightarrow 60-} f(x) = 56\)

Answer 30

and the right side limit is 68

\(\large \lim_{x \rightarrow 60+} f(x) = 68\)

Answer 31

we're done wid i and ii questions .

Answer 32

damn that wasnt that hard

Answer 33

haha i knw u wud say that lol

Answer 34

i thought that was going to take me jut a hour to understand lol

Answer 35

for iii, let me ask a question :)

did we get same answer for i and ii ?

in other words,
```
Is left side limit = right side limit ?

Answer 36

No!

Answer 37

Since,
left limit = 56
right limit = 68
\(56 \ne 68\),

left limit \(\ne\) right limit.

So..

Answer 38

\(\large \lim_{x \rightarrow 60} f(x) = DOES~~NOT~~~EXIST\)

Answer 39

okay dokkiee (:

Answer 40

:) in the graph we see that, at 60, as u move slightly left, u getting 56
as u move slightly right, u getting 68. so there is a \(discontinuity\) in the graph at x=60.

Answer 41

okayy that was easy too ...

Answer 42

(iv.) What aspect of costs of renting a car causes the graph to jump vertically by the same amount at its discontinuities?

i think u can answer this ?
list all the x-values where discontinuities occur
(just list down all the x-values where graph JUMPS... )

Answer 43

So 68 , 56 , 44 , 32?

Answer 44

thats all its asking tho?

Answer 45

they want the 'x-values' that make the graph JUMP.

Answer 46

okay i listed them all correctly?

Answer 47

x = 20, 40, 60 are the aspect that CAUSES the graph to jump vertically by the same amount of 12 units UP.

Answer 48

put that, ur teacher wil be impressed :)

Answer 49

okay dokiee thank you so muchh

Answer 50

np :)

Answer 51

He is right, I'm impressed as well...

Answer 52

@ganeshie8