Question

Only math GODS are invited please!!
Cheque my work plz!!
Thanks you!!
<3

Answer 1

http://www.mediafire.com/download/5e56ddqhgdenk5t/Characteristics+of+Functions+Part+B.pdf

Answer 2

I don't get what's the question? Unless I'm misreading it or something?

Answer 3

@jim_thompson5910

Answer 4

@ganeshie8

Answer 5

@phi

Answer 6

1d. (a+b)^2 is (a+b)(a+b)
that is not a^2 + b^2

Answer 7

wait plz let me check

Answer 8

in the last line of 2a, you could factor out the -1
f(-x) = -(5x^7+6x)
and then write
f(-x) = -f(x)
which is the definition of an odd function.

Answer 9

yes ser

Answer 10

in 2c, it can be shown that sin(-x) is -sin(x)
(if you look at a plot of sin x , it is odd)
that means you can write
f(-x) = -2 x sin(x) = f(x)
which means you have an even function.

Answer 11

yes ser

Answer 12

in 3) you can't cancel out logs
you can use "rules" to combine the logs
you should get 2 log_4 x

Answer 13

yes ser

Answer 14

are you sure about
h(x) = 2log_4 (2)
that is a constant number

Answer 15

am not sure, tbh..

Answer 16

where did it come from?
you can simplify 2 log_4(2) to 2*1/2 = 1

Answer 17

shouldn't 2h(x) mean the function of h(x) should be multiplied by 2??

Answer 18

yes. but you have
\[ h(x) = 2\log_42\]
there is no "x" on the right side. If you put the left side into wolfram
http://www.wolframalpha.com/input/?i=2%5Clog_4(2)
it will evaluate it: it's the same as h(x) =1
(though if you know 4^(1/2) = 2 then you know log_4(2) = 1/2
and 2*1/2 = 1)

Answer 19

maybe it's a typo ? and you mean h(x) = 2 log_4(x) ?

Answer 20

no its 2log_4 2

Answer 21

in that case, simplify it to
h(x) = 1
(similar to y=1, a horizontal line if we plot it)

Answer 22

your part 3) is a bit of a mess.
but part 4) is good

Answer 23

n 14c, you dropped a minus sign.
the linear graph shows the starting number to be -797.82

the best start number is the number closest to 98
that is the exponential model
(notice that that model has a curve that goes close to the plotted points.

Answer 24

you mean am suppose to drop the minus sign??

Answer 25

because -797.82 is not given in the tabel

Answer 26

no, I mean you did drop the minus sign, and wrote

The linear graph shows that the study of population of bacteria started with an initial number of 797.82 bacteria.

and that is not correct

Answer 27

is -797.82 linear model doesn't give the best answer..????

Answer 28

then which model gives the best answer?!?!?

Answer 29

The linear model predicts that there are -797.82 bacteria at time 0
not only is that far from truth (98), it does not make physicial sense)
in other words, the linear model is a poor fit .

Answer 30

ok so than exponential function models the data best?!?!?

Answer 31

i mean the exponential gives the best answer?!?!?

Answer 32

yes. it definitely matches the data in the table best.
It has the most accurate prediction of the starting number (104 is close to 98, right ?)

Answer 33

ok the only thing that i need your help with is question numner 3c

Answer 34

i believe you sent you the actual question. can you please help me

Answer 35

you should redo all of part 3) a , b, and c