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Algebra II Spring 2022 > Week 2 SYMKC > Flashcards

Week 2 SYMKC Flashcards

1
Q

the set of all input values (independent, x-values) of a relation or function

A

domain

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2
Q

the set of all output values (dependent, y-values) of a relation or function

A

range

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3
Q

A function or relation has _______ domain and range if its values are unbroken over a part of the graph.

A

continuous

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4
Q

A function has __________ domain and range if its values are not connected.

A

discrete

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5
Q

Write domain and range from ____________.

A

least to greatest (left to right or bottom to top when looking at a graph)

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6
Q

Discrete or Continuous?

A

Continuous

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7
Q

Discrete or Continuous?

A

Discrete

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8
Q

Discrete or Continuous?

A

Continuous

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9
Q

In interval notation, use _____ to indicate < or > (exclusive). Also, use these symbols around ∞ or -∞

A

parentheses ( )

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10
Q

In interval notation, use _________ to indicate ≤ or ≥ (inclusive)

A

square brackets []

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11
Q

Symbol used for All Real Numbers

(any number that is not imaginary)

A

R

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12
Q

Symbol used for Rational Numbers

A

Q

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13
Q

Symbol used for the Integers

A

Z

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14
Q

Symbol used for the whole numbers

A

W

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15
Q

Symbol used for the Natural Numbers

A

N

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16
Q

Symbol used for the Irrational Numbers

A

P

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17
Q

Symbol used for a Complex Number

A

C

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18
Q

Symbol used for an imaginary number

A

i

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19
Q

Define the set of Complex Numbers

A

a number that has a real and an imaginary part

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20
Q

Define a Real Number

A

Any number that is not imaginary, can be a fraction, decimal, repeating or terminating decimal, or nonterminating decimal

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21
Q

Define a the set of rational numbers

A

Any number that can be made a fraction or has a terminating or repeating decimal.

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22
Q

Define the set of integers.

A

Any positive, negative counting number and 0.

… -3, -2, -1, 0, 1, 2, 3, …

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23
Q

Define the set of whole numbers

A

Any positive counting number including 0.

0, 1, 2, 3, 4, …

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24
Q

Define the set of Natural Numbers

A

Any positive counting number

1, 2, 3, 4, 5, …

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25
Q

Define the set of irrational numbers

A

Any decimal that does not repeat and does not terminate.

∏, e, any root that does not simplify

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26
Q

Define the set of pure imaginary numbers

A

A number that does not have a real part.

Example 4i, 10i, -6i

27
Q

values that may be positive in the real world or the problem is only interested in outcomes over a specified period.

A

real world constraints

28
Q

Name that graph

A

Linear

29
Q

Name that graph

A

Cubic

30
Q

Name that graph

A

Square Root

31
Q

Name that graph

A

Exponential

32
Q

Name that graph

A

Cube Root

33
Q

Name that graph

A

quadratic

34
Q

Name that graph

A

Logarithmic

35
Q

Name that graph

A

Rational (Reciprocal)

36
Q

Name that graph

A

Absolute Value

37
Q

Name that equation

A
38
Q

Name that equation

A
39
Q

Name that equation

A
40
Q

Name that equation

A
41
Q

Name that equation

A
42
Q

Name that equation

A
43
Q

Name that equation

A
44
Q

Name that equation

A
45
Q

Name that equation

A
46
Q

a relation where each x-value (input) is associated with only one y-value (output)

A

function

47
Q

indicates whether or not the graph of a relation is a function

A

Vertical Line Test

48
Q

If an imagined vertical line passes through at most one point of a relation at any location, then the relation is a ______.

A

function

49
Q

Check for _________ x-values(inputs) when trying to determine if a table, mapping diagram, or set of ordered pairs represents a function.

A

repeating

50
Q

Inverse operations ______ each other.

A

undo

51
Q

The inverse operation of addition is ________

A

subtraction

52
Q

The inverse operation of division is ________.

A

multiplication

53
Q

interchange the x-values (inputs) and y-values (outputs) of relations.

A

Inverse relations

54
Q

A relation and its inverse reflect over the line ______.

A

y=x

55
Q

Inverse functions _____ each other

A

undo

56
Q

the notation used to represent the inverse of f

A
57
Q

How do you say

A

f inverse of x

58
Q

Describe the process to algebraically find the inverse of a function named f(x).

A
  1. Replace f(x) with y if necessary.
  2. Switch x and y.
  3. Solve for y.
  4. Rewrite the equation in function notation.
59
Q

The inverse of a linear function is a _______ function

A

linear

60
Q

The inverse of a quadratic function is a _______ function

A

Square root

61
Q

The inverse of a cubic function is a ________ function.

A

Cube Root

62
Q

Ways to verify if functions are inverses

A
  1. If f(g(x))=g(f(x)) = x, then f and g are inverses.
  2. If the x and y coordinates are switched in each ordered pair, then the two sets are inverses.
  3. If the graph of f and g are symmetrical to y=x, then f and g are inverses.
63
Q

Composition of two functions

A

a process of plugging one function into the variables of another function

64
Q

Symbolism for the composition function of f and g

A

Algebra II Spring 2022 (8 decks)

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