2
a vertical stretch by a factor of 3 and
translating down 5 units. What is the
function of the transformed graph?
2
a reflection over the
x
-axis and a vertical
stretch by a factor of 5. What is the function
of the transformed graph?
I can solve equations with logarithms and exponents.
21. Solve: 3
2
x
− 1
− 4 = 239
25. Solve: −8 + 4
x
− 9
= 92
ln (
x
) = 1.7
ln (12) =
x
e
3.5
=
x
e
x
= 92
The population of a town was 2,500 people
in the year 2000. If it is growing
exponentially at a rate of 8% per year, write
an equation to model the growth.
Use your model to determine in what year
the population will double what it was in the
year 2000.
The population of a town was 2,500 people
in the year 2000. If it is decreasing
exponentially at a rate of 8% per year, write
an equation to model the decay.
Use your model to determine in what year
the population will reach 1,000 people.
a painting can be modeled by
the equation
V
(
t
) = 250(0.93)
t
where
t
= 0
in the year 2010 and the value is in
thousands of dollars. What will the value of
the painting be in the year 2020?
The value of a painting can be modeled by
the equation
V
(
t
) = 250(1.28)
t
where
t
= 0
in the year 2010 and the value is in
thousands of dollars. In approximately what
year will the painting be valued at
$400,000?