Test 2 Flashcards

1
Q

continuity

A
  • draw without lifting hand

- no holes

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2
Q

identity function

A

y=x

line

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3
Q

squaring function

A

y=x^2

parabola

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4
Q

cubing function

A

y=x^3

snake

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5
Q

square root function

A

y=square root x

half of a sideways parabola

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6
Q

cube root function

A
y=3square root x
sideways snake (low first)
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7
Q

absolute value function

A

y= lxl

V

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8
Q

graph piece wise functions

A
  • graphing calculator use ( )
  • 2nd math
  • open circle if greater/less than
  • closed circle if greater/less or equal to
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9
Q

and in calculator

A

2nd, math, logic

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10
Q

greatest integer aka

A

step function

  • largest integer less than or equal to the given number
  • [ll]
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11
Q

step function in calculator

A

y=, math, number, 5: int(

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12
Q

open circle

A

at end of line

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13
Q

shift up

A

+ outside

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14
Q

shift down

A
  • outside
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15
Q

shift left

A

+ inside

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16
Q

shift right

A
  • inside
17
Q

vertical stretch/shrink

A

af(x)
a larger than 1=stretch
a less than 1 greater than 0=shrink

18
Q

horizontal stretch/shrink

A

f(ax)
a larger than 0 less than 1=stretch
a larger than 1= shrinking

19
Q

reflection across the x-axis

A

-f(x)

20
Q

reflection across the y-axis

A

f(-x)

21
Q

symmetrical to x axis

A

can fold across x axis

22
Q

symmetrical to y axis

A

can fold across y axis

23
Q

symmetrical to origin

A

can rotate upside down and its the same

24
Q

tell if its symmetrical to x axis algebraically to equation

A

y is replaced with -y and is the same

25
Q

tell if its symmetrical to y axis algebraically to equation

A

x is replaced with -x and is the same

26
Q

tell if its symmetrical to origin algebraically to equation

A

x replaced with -x and y replaced with -y and is the same

27
Q

determine if an equation is even, odd, or neither

A
  • all odd exponents=odd
  • all even exponents=even
  • both= neither
28
Q

graph translation on test

A

show +- on coordinates

show new ordered pairs

29
Q

find the intersection of the following interval pairs

A

U together

“and” what needs to overlap

30
Q

find the domain and range of equation

A
  • think of what the graph looks like

- what can x not be

31
Q

difference quotient equation

A

f(x+h)-f(x) over h

- use f(x) equation and just (x+h)

32
Q

find g of f and its DOMAIN

A

simplify completely then find what x can’t be to make numerator or denominator zero

33
Q

if the graphs intersect at exactly one point

A
  • ordered pair

- consistent and dependent

34
Q

if the graph are parallel

A
  • equation doesn’t equal
  • no solution
  • inconsistent and independent
35
Q

if the graphs are on the same line

A
  • equation equals each other
  • infinite number of solutions
  • inconsistent and dependent
36
Q

x arbitrary

A

only for same line/infinite solutions

x, solve for y

37
Q

solve systems with three equations

A
  1. First 2 equation s

2. Second 2 equations using same variable

38
Q

matrix

A

10
01
- 0=add
- 1= multiply