Exam 2

Question 1

Not 1-1 functions

Answer 1

Two X values have the same y values.

Question 2

Graphing log functions

Answer 2

Take exponential questions and reflect over y=X line.

Question 3

Loge

Answer 3

Ln

Question 4

Loga1 =

Answer 4

0

Question 5

Loga a =

Answer 5

1

Question 6

Loga XY=

Answer 6

Logs X + loga Y

Question 7

Loga X^r =

Answer 7

Rloga X

Question 8

Change of base equation

Answer 8

Loga X = logb X/logb A

B can be anything.

Question 9

simple interest

Answer 9

I=Prt

Question 10

Continuously compounded

Answer 10

A=Pe^rt

Question 11

Present value

Answer 11

P=Ae^ -rt

Question 12

Doubling time ( compounding)

Answer 12

Ln2/r=t

Question 13

Growth equation

Answer 13

A(t) = Ao e ^kt

Question 14

1 revolution

Answer 14

360 degrees

Question 15

1 degree

Answer 15

60 minutes

Question 16

1’

Answer 16

60 seconds

Question 17

Degrees to radians

Answer 17

(Pie/ 180)

Question 18

Radians to degrees

Answer 18

(180/pi) (radian value)

Question 19

Arc length

Answer 19

r(theta)

Theta in radians

Question 20

Area of segment

Answer 20

A= (r^2/2) (theta)

theta in radians

Question 21

Cost

Answer 21

X

Question 22

Sint

Answer 22

Y

Question 23

Cot(X)

Answer 23

X/y

Question 24

Sect

Answer 24

1/X

Question 25

Csct

Answer 25

1/y

Question 26

1=

Answer 26

Cos^2(t) + sin^2(t)

X^2+ y^2

Question 27

If r is not 1 then…

Answer 27

X/r. Y/r. Etc.

Question 28

Fog

Answer 28

F(g(X))- plug X in G equation. Then plug that answer into f equation for X.

Question 29

Compound interest formula for times per year

Answer 29

A=P(1+r/n)^nt

Question 30

Effective rate

Answer 30

Re= (e^r -1)

Question 31

Effective rate times per year

Answer 31

Re=(1+r/n)^n -1

Question 32

Domain and range for sin and cos

Answer 32

Domain: all reals
Range: [-1,1]

Question 33

Domain and range for tan and

Answer 33

Domain: X can’t equal pi/2 +npie integers

Range: all reals

Question 34

Domain and range for cot

Answer 34

Domain: X can’t equal npie
(N is an integer)

range: all reals

Question 35

Domain and range for sec

Answer 35

Domain: X can’t equal pie/2 +npie
Range: (-infinity,-1] U [1,infinity)

Question 36

Domain and range for csc

Answer 36

Domain: X can’t equal npie
Range: (-infinity,-1]U[1,infinity)

Question 37

Sin, cos, csc, sec periods

Answer 37

2pie

Question 38

Tan, cot period

Answer 38

Pie

Question 39

w>1

Answer 39

Compressed

Question 40

w

Answer 40

Stretched horizontally

Question 41

Period

Answer 41

2pie/ w

Question 42

Phase shift

Answer 42

£ / w

£= y=Asin(wx-£)

Question 43

Domain for tan

Answer 43

Change if stretch or compressed horizontally