Question

HELP MEDAL!! http://gyazo.com/73ea421f0a7d04815a1c8e5e7a7486dc

Answer 1

@SolomonZelman

Answer 2

the average rate of change from x=-5 to x=1, is basically slope of a secant over that interval.

you are just asked to find the (linear) slope from x=-5 to x=1

Answer 3

\(\normalsize\color{royalblue}{ \Delta y/\Delta x~~~\Rightarrow~~~~~ \rm {\bf [}~f(-5)-f(1)~{\bf ]}~/~ {\bf [}~-5-1~{\bf ]} }\)

Answer 4

\(\large\color{black}{ \frac{\LARGE f(-5)-f(1)}{\LARGE -5-1} =? }\)

Answer 5

4

Answer 6

wait, you have:
f(-5)=1
f(1) = -1

Answer 7

1/6

Answer 8

1 - -1
------ = ?
-5 - 1

Answer 9

2/-6

Answer 10

yes, and that is same as?

Answer 11

(reduce the fraction()

Answer 12

-1/3?

Answer 13

yes

Answer 14

well done!

Answer 15

one more question man?

Answer 16

http://gyazo.com/ab5fb2ce99de5137fa1b12e80234f4d0
@SolomonZelman

Answer 17

you got:
\(\large\color{slate}{ f(x)=\log_2(x+6) }\)

Answer 18

\(\large\color{slate}{y=\log_2(x+6) }\)

Answer 19

\(\large\color{slate}{x=\log_2(y+6) }\)

Answer 20

solve for y

Answer 21

how?

Answer 22

i got 2 is that right?

Answer 23

Keep disconnecting excuse me

Answer 24

There is a rule:
\(\Large\color{slate}{\log_{A}B=C~~~~~~\Rightarrow~~~~~A^C=B}\)

Answer 25

you have: \(\large\color{slate}{x=\log_2(y+6)}\)

apply the above rule to this

Answer 26

2^6=y

Answer 27

your A is 2
your B is (y+6)
your C is x

Answer 28

\(\large\color{slate}{2^x=y+6}\) like this

Answer 29

solve for y, can you?

Answer 30

Soloman thanks for your time, ive found the answer have a great day sir!

Answer 31

ok, sure, but what was your answer?