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HOMEWORK
1.(7.3)
What is Natural Base e?
1. ANSWER
Euler’s Number: 2.718281
2.(7.4 D1)
What is a common
logarithm?
2 . ANSWER
A log with a base of 10.
Written as log.
3.(7.4 D1)
What is a natural
logarithm?
3 . ANSWER
A log with a base of e.Written as
ln.
4. M(7.1 D3)
What is the formula for Compound Interest?
4 . ANSWER
A = amount after t yearsP = initial Principal (deposit)
r = interest Ratet = time in years
n = times per year
5. M(7.3)
What is the formula for Continuously
Compounded Interest?
5 . ANSWER
6. M(7.5)
What is the formula for the
Product Property?
6 . ANSWER
7. M(7.5)
What is the formula for
the Quotient Property?
7 . ANSWER
8. M(7.5)
What is the formula for the Power Property?
8 . ANSWER
9. M(7.5)
What is the formula for Change of
Base?
9 . ANSWER
10. M(7.)
What is the Exponential
Growth Model?
10 . ANSWER
11. M(7.)
What is the Exponential
Decay Model?
11 . ANSWER
12.
How do you know if an
exponential function is a
growth or decay function?
12 . ANSWER
You look at b in the equation
If 0 <b < 1, it is a decay function.
If b > 1, it is a growth function.
13. SOLVE(7.3)
You deposit $700 in an account that pays 3.5%
annual interest compounded
continuously. What is the balance after 2 years?
13 . ANSWER
A = $750.76
14. SOLVE(7.1-7.2)
How do you translate an exponential
function when graphing?
14 . ANSWER
h = left & right (sign changes)k = up & down
19. SOLVE(7.4 D2)
Simplify the expression
15 . ANSWER
cancels out4x
16. SOLVE(7.4)
Rewrite the expression
.
16 . ANSWER
17. SOLVE(7.4)
Find the inverse
function of .
17 . ANSWER
Swap x & y.X – 2 =
cancels out
y=
18. SOLVE(7.5)
Condense the expression:
y = 2log x + 3log y – 5log z
18 . ANSWER
y = 2log x + 3log y – 5log z
Power Property:
Product Property
Quotient Property
19. SOLVE(7.6)
Solve the equation:
19 . ANSWER
Drop the
x – 7 = 2x + 3
Subtract x from both sides.
-7 = x + 3
Subtract 3 from both sides.
-10 = x
20. SOLVE(7.6)
Solve the equation:
20 . ANSWER
Cancels out.
X =
Change of Base
X = 2.07
21. SOLVE(7.7)
Write an exponential function in the form
that passes through the points (3, 1) and (5, 4).
21 . ANSWER
, (3, 1) and (5, 4).
2 = b
a = 1/8
22. SOLVE(7.7)
Write a power function in the form that passes through the points (2, 3) and
(6, 12).
22 . ANSWER
, (2, 3) and (6, 12)
12 = 3()
4 =
b =
b = 1.26
= 1.25
y = 1.25
BONUS
Write an exponential growth function of the form whose graph has a y-intercept of 5 and
an asymptote of 2.
BONUS
Explain how you can determine if a
power function is a good model for a set
of data pairs.
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