Question

y = 1 − 3^(2x − 2) what is the intercepts and domain and range

Answer 1

\[y=1-3^{2x-2}\]

Answer 2

Is that the equation?

Answer 3

yes

Answer 4

ok well to find y intercept you sub in 0 as x

Answer 5

then

Answer 6

y intercept is 8/9

Answer 7

\[-1=-3^{2x-2}\]
\[1=3^{2x-2}\]
\[\log(1)=(2x-2)\log(3)\]
\[0=.477(2x-2)\]
\[0=2x-2\]
x=1

Answer 8

YES! I was just searching some log properties

Answer 9

the domain should be x e R

Answer 10

Domain is all reals.
3^(2x-2) will always be positive.
1- a positive number will always be less than 1 so the range is reals <1