Brainscape's Knowledge GenomeTM

Browse over 1 million classes created by top students, professors, publishers, and experts.


See full index

Math 11 > Exam Review > Flashcards

Exam Review Flashcards

1
Q

Domain and Range: Linear

What line does this not apply for

A

D: {x € R}
R: {f(x) € R}
Horizontal line

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

Domain and Range: Quadratic Function

A

D: {x € R}
R: {f(x) € R|f(x) and the last #.
* Don’t forget _

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

What are the sign rules?

A

If the vertical stretch or front # is positive it is a greater than and equal to sign >.
If the vertical stretch or front # is negative it is a less than and equal to sign

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

How do you find the domain and range for a square root function.

A
  1. Reduce the square root
  2. Take the last # under the square root flip the sign and put it in the domain the sign in the brackets become the Pac man
  3. For the range take the sign from the first # and turn it into your pac man and the last # goes into your range.
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

What is each part of the equation

A

First #: vertical stretch
2nd #: (factored #) horizontal stretch
3rd: horizontal shift
4th: vertical shift

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

Domain and Range: Absolute Value

A

D: {x € R}
R: {f(x) € R|f(x) and then the last # in equation.
* Pac man comes from the front symbol.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

Domain and Range: Reciprocal

A

D: {x € R|x = the bottom fraction the right # over the left}
R: {f(x) € R|f(x)= the last # on the top}

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

Table of Values: Linear

A

X: -2, -1, 0, 1, 2
Y: -2, -1, 0, 1, 2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

Table of Values: Quadratic

A

X: -2, -1, 0, 1, 2
Y: 4, 1, 0, 1, 4

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

Table of Values: Square Root

A

X: 0, 1, 4, 9, 16
Y: 0, 1, 2, 3, 4

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

Table of Values: Absolute

A

X: -2, -1, 0, 1, 2
Y: 2, 1, 0, 1, 2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

Table of Values: Reciprocal

A

X: -2, -1, -1/2, 0, 1/2, 1, 2
Y: -1/2, -1, -2, 0, 2, 1, 1/2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

What is a

A

First #
Vertical stretch
Goes in front of y

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

What is k

A

Horizontal stretch
1/k
Goes in front of X
Second #

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

What is d

A

Horizontal shift
3rd #
Pull the opposite sign
+ or subtract with x

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

What is c

A

Vertical shift
4th #
+ or - with y

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
17
Q

Vertex

A

(h, k)

Max or min coordinate on the graph

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
18
Q

X-intercepts/zeros/roots/solutions

A

x=r

x=s

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
19
Q

Y-intercept

A

Y=c

0, c

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
20
Q

Aos

How to find?

A

R+s
-—— = h
2

x=h

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
21
Q

If the a is greater than 0 what happens?

If a is les than 0 what happens?

A

Opens up

Opens down

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
22
Q

Vertex form

A

F(x) = a(x-h)^2 + k

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
23
Q

Standard form

A

F(x) = ax^2 +bx + c

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
24
Q

Zeros or Factored Form

A

F(x) = a(x-r)(x-s)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
25
Q

When to use partial factoring

A

When you have standard form

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
26
Q

How do you partial factor

A
  1. Take a certain # out of the first two terms
  2. Pick a number that makes the factored out term which is zero
  3. Pick a # to make bracket zero
  4. Take the two zero #s add them and then divide by zero.
  5. Plug that # in two find the max and min.
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
27
Q

How to simplify radicals

A

Pick a square root that multiplies with another # to create the # under the square root. Square the root and multiply it by the front #.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
28
Q

If b^2-4ac>0 how many POI’s are there.

A

2 POIs

2 Zeros

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
29
Q

If b^2-4ac=0 how many POI’s are there.

A

1 POI

1 zero

30
Q

If b^2-4ac

A

0 POI’s

0 zeros

31
Q

How to find POIs

A
  1. Make the equation one whole thing
  2. Put it into the quadratic formula
  3. Make a positive and negative case
  4. Pick and equation to plug both #s into
  5. Find y value
  6. Make coordinate
32
Q

What is the product rule for exponents

A

When multiplying with the same base add the exponents

33
Q

When dividing exponents

A

When dividing with the same base subtract exponents

34
Q

What is the power law

A

When raising the power (5^3)^4 when bases are the same multiply the exponents

35
Q

What is anything to the power of zero

A

1

36
Q

What does each part of the exponential function equation mean
f(x) = ab^x

A 
F(X)= final value
A= initial value
B= base 
• growth: b=1+r (rate)
• decay: b=1-r (rate)
X= period or time
37
Q

Csc = ?

A

Cosecant

Cos

38
Q

Sec = ?

A

Secant

Sin

39
Q

Cot = ?

A

Tan

Cotangent

40
Q

Function definition

A

A relation where each value of the independent variable corresponds with only one value of the dependant variable
Each X only produces 1 y

41
Q

In the first triangle what is the hypotonuse

A

Square root 2

42
Q

What are the angles in the 1st triangle

A

Bottom left: 45
Bottom right: 90
Top: 45

43
Q

What is the bottom on the first triangle

A

1

44
Q

What is on the right side of the triangle

A

1

45
Q

What are the angles on the second triangle

A

Bottom left: 60
Bottom right: 90
Top: 30

46
Q

What are the side lengths on the second triangle

A

Bottom: 1
Left: 2
Right: square root of 3

47
Q

Sin 30:
Sin 45:
Sin 60:

A

Sin 30: 0.5
Sin 45: square root 2/2
Sin 60: square root 3/2

48
Q

Cos 30:
Cos 45:
Cos 60:

A

Cos 30: square root 3/2
Cos 45: square root 2/2
Cos 60: 1/2

49
Q

Tan 30:
Tan 45:
Tan 60:

A

Tan 30: square root 3/3
Tan 45: 1
Tan 60: square root 3

50
Q

What is the principle and related acute angles

A

The principle goes from 0 to the arm

The related goes from the arm to the X axis

51
Q

What is the amplitude

A

Always positive

Distance from peak or trough to EOA

52
Q

What is the trough

A

The min value

53
Q

What is the peak

A

The max value

54
Q

What is a periodic function

A

A function which repeats over a regular cycle

55
Q

What is theEoA

A

Halfway between the peak and trough

y=peak + trough / 2

56
Q

Where to get amplitude

A

First #

Has to be positive

57
Q

Where do you get the period

A

2nd #

360 divided by the period or K

58
Q

Phase shift

A

Start

Thrid #

59
Q

EOA

A

Y=c or the last #

60
Q

Domain

A

Add 2 of the periods and put in Pac mans

61
Q

Range

A

Put the trough in then pack man (y or f(X)) pack man and then peak

62
Q

Starting + sin

A

EOA and then to peak

63
Q

Starting at -sin

A

EOA then trough

64
Q

Starting at +cos

A

Peak

65
Q

Starting at -cos

A

Trough

66
Q

What is a sequence

A

An ordered list of #s

67
Q

Term define

A

A # in a sequence

68
Q

Arthritic sequence

A

Has the same difference between consecutive terms = d

2, 4, 6, 8, 10

69
Q

Geometric sequence

A

The same ratio between consecutive terms found by taking second term and dividing it by the first aka r

70
Q

Exaltation the formula tn= a + (n-1)d

A 
Tn= term #
A = first term
N= term #
D = common difference
71
Q

Explain this formula:

Tn=ar ^ n-1

A 
Tn= term #
A= first term

Math 11 (5 decks)

Brainscape helps you reach your goals faster, through stronger study habits.
© 2024 Bold Learning Solutions. Terms and Conditions