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.