Precalc/trig Trimester 2 Exam

Front 1

Write the exponential form of y=log(a)x

Back 1

a^y=x

Front 2

write the inverse of log(a)a^x

Back 2

a^log(a)x

Front 3

what is the base of a natural log

Back 3

e

Front 4

how do you find the domain of a logarithmic function

Back 4

set the term of the log greater than or equal to 0

Front 5

What is the change of base formula

Back 5

log(a)x=(log(b)x/log(b)a)

Front 6

What is the product property of logarithms

Back 6

log(b)uv = log(b)u+log(b)v

Front 7

What is the quotient property of logarithms

Back 7

log(b)u/v = log(b)u-log(b)v

Front 8

What is the power property of logarithms

Back 8

log(b)u^n=nlog(b)u

Front 9

What is the Simple Interest Formula

Back 9

I=Prt

Front 10

What is the compound interest formula?

Back 10

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

Front 11

What is the continuous compound formula?

Back 11

A=Pe^rt

Front 12

What is the effective rate of interest formula?

Back 12

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

Front 13

When will a log be positive and when will it be negative

Back 13

It will be positive when the base is greater than 1, negative when base is between 0 and 1

Front 14

How many radians are in one full revolution of a circle?

Back 14

2π

Front 15

How many radians are in one half-revolution of a circle?

Back 15

π

Front 16

how many radians in a quarter revolution of a circle?

Back 16

.5π

Front 17

how many radians are in one degree

Back 17

(π/180)

Front 18

how many degrees are in one radian?

Back 18

(180/π)

Front 19

What are the radian boundaries of quadrant 1

Back 19

From 0 to (π/2)

Front 20

What are the radian boundaries of quadrant 2

Back 20

From (π/2) to π

Front 21

What are the radian boundaries of quadrant 3

Back 21

From π to (3π/2)

Front 22

What are the radian boundaries of quadrant 4

Back 22

From (3π/2) to 2π

Front 23

What are the degree boundaries of quadrant 1

Back 23

From 0º to 90º

Front 24

What are the degree boundaries of quadrant 2

Back 24

From 90º to 180º

Front 25

What are the degree boundaries of quadrant 3

Back 25

From 180º to 270º

Front 26

What are the degree boundaries of quadrant 4

Back 26

From 270º to 360º

Front 27

How do you find a positive and negative coterminal angle

Back 27

add and subtract 2π to the angle

Front 28

If the sum of 2 positive angles is (π/2), those angles are ___________

Back 28

Complimentary

Front 29

If the sum of 2 positive angles is π, those angles are ___________

Back 29

Supplementary

Front 30

What is the formula to find the arc length with an angle in degrees

Back 30

S=(º/360)(2πr)

Front 31

What is the formula to find the arc length with an angle in radians

Back 31

S=r*º*radians

Front 32

What is the formula for Linear Speed?

Back 32

v=(arc length (s)/time(t))

Front 33

What is the formula for angular speed?

Back 33

Angular Speed = (Central Angle/Time)

Front 34

What equation relates angular speed and linear speed?

Back 34

V=angular speed*time

Front 35

What is 90º in radians

Back 35

π/2

Front 36

What is 60º in radians

Back 36

π/3

Front 37

What is 45º in radians

Back 37

π/4

Front 38

What is 30º in radians

Back 38

π/6

Front 39

What is 45º point on the circle

Back 39

√2/2, √2/2

Front 40

What is 60º point on the circle

Back 40

1/2, √3/2

Front 41

What is 90º point on the circle

Back 41

0,1

Front 42

What is 30º point on the circle

Back 42

√3/2, 1/2

Front 43

What is the tangent value for 0º

Back 43

0

Front 44

What is the tangent value for 30º

Back 44

√3/3

Front 45

What is the tangent value for 45º

Back 45

1

Front 46

What is the tangent value for 60º

Back 46

√3

Front 47

What is the tangent value for 90º

Back 47

undefined

Front 48

How many radians are in one full revolution of a circle?

Back 48

2π

Front 49

How many radians are in one half-revolution of a circle?

Back 49

π

Front 50

how many radians in a quarter revolution of a circle?

Back 50

.5π

Front 51

how many radians are in one degree

Back 51

(π/180)

Front 52

how many degrees are in one radian?

Back 52

(180/π)

Front 53

What are the radian boundaries of quadrant 1

Back 53

From 0 to (π/2)

Front 54

What are the radian boundaries of quadrant 2

Back 54

From (π/2) to π

Front 55

What are the radian boundaries of quadrant 3

Back 55

From π to (3π/2)

Front 56

What are the radian boundaries of quadrant 4

Back 56

From (3π/2) to 2π

Front 57

What are the degree boundaries of quadrant 1

Back 57

From 0º to 90º

Front 58

What are the degree boundaries of quadrant 2

Back 58

From 90º to 180º

Front 59

What are the degree boundaries of quadrant 3

Back 59

From 180º to 270º

Front 60

What are the degree boundaries of quadrant 4

Back 60

From 270º to 360º

Front 61

How do you find a positive and negative coterminal angle

Back 61

add and subtract 2π to the angle

Front 62

If the sum of 2 positive angles is (π/2), those angles are ___________

Back 62

Complimentary

Front 63

If the sum of 2 positive angles is π, those angles are ___________

Back 63

Supplementary

Front 64

What is the formula to find the arc length with an angle in degrees

Back 64

S=(º/360)(2πr)

Front 65

What is the formula to find the arc length with an angle in radians

Back 65

S=r*º*radians

Front 66

What is the formula for Linear Speed?

Back 66

v=(arc length (s)/time(t))

Front 67

What is the formula for angular speed?

Back 67

Angular Speed = (Central Angle/Time)

Front 68

What equation relates angular speed and linear speed?

Back 68

V=angular speed*time

Front 69

Name the two quotient identities

Back 69

tanº=(sinº/cosº) cotº=(cosº/sinº)

Front 70

is sin even or odd?

Back 70

odd

Front 71

is cos even or odd

Back 71

even

Front 72

is tan even or odd?

Back 72

odd

Front 73

name the Pythagorean Identities

Back 73

sin^2º+cos^2º=1 1+tan^2º=sec^2º 1+cot^2º=csc^2º

Front 74

When a>1, Answer the following for g(x) = a^x

Growth or decay:
Domain:
Range:
Intercepts:
Asymptotes:
Increasing or Decreasing:
Concavity:
Continuity:
End Behavior:

Back 74

Growth or decay: Growth
Domain: All Reals
Range:(0,infinity)
Intercepts: y int - (0,1). No x intercept
Asymptotes: horizontal, y=0
Increasing or Decreasing: increasing
Concavity:Up
Continuity:Yes
End Behavior:x->infinity.
y->infinity, -x-> -infinity -y=0

Front 75

When a>1, Answer the following for g(x) = a^x

Growth or decay:
Domain:
Range:
Intercepts:
Asymptotes:
Increasing or Decreasing:
Concavity:
Continuity:
End Behavior:

Back 75

Growth or decay: Growth
Domain: All Reals
Range:(0,infinity)
Intercepts: y int - (0,1). No x intercept
Asymptotes: horizontal, y=0
Increasing or Decreasing: increasing
Concavity:Up
Continuity:Yes
End Behavior:x->infinity.
y->infinity, -x-> -infinity -y=0

Front 76

When a>1, Answer the following for f(x) = log(a)x

Growth or decay:
Domain:
Range:
Intercepts:
Asymptotes:
Increasing or Decreasing:
Concavity:
Continuity:
End Behavior:

Back 76

Growth or decay: Growth
Domain:(0,infinity)
Range:All Reals
Intercepts: x int - (1,0). No y intercept
Asymptotes: vertical x=0
Increasing or Decreasing: increasing
Concavity:Down
Continuity:Yes
End Behavior:x->infinity.
y->infinity, -x-> 0 -y=-infinity

Front 77

When a>1, Answer the following for f(x) = log(a)x

Growth or decay:
Domain:
Range:
Intercepts:
Asymptotes:
Increasing or Decreasing:
Concavity:
Continuity:
End Behavior:

Back 77

Growth or decay: Growth
Domain:(0,infinity)
Range:All Reals
Intercepts: x int - (1,0). No y intercept
Asymptotes: vertical x=0
Increasing or Decreasing: increasing
Concavity:Down
Continuity:Yes
End Behavior:x->infinity.
y->infinity, -x-> 0 -y=-infinity

Front 78

When 0<a<1, Answer the following for g(x) = a^x

Growth or decay:
Domain:
Range:
Intercepts:
Asymptotes:
Increasing or Decreasing:
Concavity:
Continuity:
End Behavior:

Back 78

Growth or decay: Decay
Domain: All Reals
Range:(0,infinity)
Intercepts: y int - (0,1). No x intercept
Asymptotes: y=0
Increasing or Decreasing: decreasing
Concavity:Up
Continuity:Yes
End Behavior:x->infinity.
y->0, -x-> -infinity -y=0

Front 79

When 0<a<1, Answer the following for g(x) = a^x

Growth or decay:
Domain:
Range:
Intercepts:
Asymptotes:
Increasing or Decreasing:
Concavity:
Continuity:
End Behavior:

Back 79

Growth or decay: Decay
Domain: All Reals
Range:(0,infinity)
Intercepts: y int - (0,1). No x intercept
Asymptotes: y=0
Increasing or Decreasing: decreasing
Concavity:Up
Continuity:Yes
End Behavior:x->infinity.
y->0, -x-> -infinity -y=0

Front 80

When 0<a<1, Answer the following for f(x) = log(a)x

Growth or decay:
Domain:
Range:
Intercepts:
Asymptotes:
Increasing or Decreasing:
Concavity:
Continuity:
End Behavior:

Back 80

Growth or decay: Decay
Domain: (0,infinity)
Range:All Reals
Intercepts: y int - (0,1). No x intercept
Asymptotes: x=0
Increasing or Decreasing: decreasing
Concavity:Up
Continuity:Yes
End Behavior:x->infinity.
y->-infinity, -x->0 -y=infinity

Front 81

When 0<a<1, Answer the following for f(x) = log(a)x

Growth or decay:
Domain:
Range:
Intercepts:
Asymptotes:
Increasing or Decreasing:
Concavity:
Continuity:
End Behavior:

Back 81

Growth or decay: Decay
Domain: (0,infinity)
Range:All Reals
Intercepts: y int - (0,1). No x intercept
Asymptotes: x=0
Increasing or Decreasing: decreasing
Concavity:Up
Continuity:Yes
End Behavior:x->infinity.
y->-infinity, -x->0 -y=infinity