Test 2 Flashcards
continuity
- draw without lifting hand
- no holes
identity function
y=x
line
squaring function
y=x^2
parabola
cubing function
y=x^3
snake
square root function
y=square root x
half of a sideways parabola
cube root function
y=3square root x sideways snake (low first)
absolute value function
y= lxl
V
graph piece wise functions
- graphing calculator use ( )
- 2nd math
- open circle if greater/less than
- closed circle if greater/less or equal to
and in calculator
2nd, math, logic
greatest integer aka
step function
- largest integer less than or equal to the given number
- [ll]
step function in calculator
y=, math, number, 5: int(
open circle
at end of line
shift up
+ outside
shift down
- outside
shift left
+ inside
shift right
- inside
vertical stretch/shrink
af(x)
a larger than 1=stretch
a less than 1 greater than 0=shrink
horizontal stretch/shrink
f(ax)
a larger than 0 less than 1=stretch
a larger than 1= shrinking
reflection across the x-axis
-f(x)
reflection across the y-axis
f(-x)
symmetrical to x axis
can fold across x axis
symmetrical to y axis
can fold across y axis
symmetrical to origin
can rotate upside down and its the same
tell if its symmetrical to x axis algebraically to equation
y is replaced with -y and is the same
tell if its symmetrical to y axis algebraically to equation
x is replaced with -x and is the same
tell if its symmetrical to origin algebraically to equation
x replaced with -x and y replaced with -y and is the same
determine if an equation is even, odd, or neither
- all odd exponents=odd
- all even exponents=even
- both= neither
graph translation on test
show +- on coordinates
show new ordered pairs
find the intersection of the following interval pairs
U together
“and” what needs to overlap
find the domain and range of equation
- think of what the graph looks like
- what can x not be
difference quotient equation
f(x+h)-f(x) over h
- use f(x) equation and just (x+h)
find g of f and its DOMAIN
simplify completely then find what x can’t be to make numerator or denominator zero
if the graphs intersect at exactly one point
- ordered pair
- consistent and dependent
if the graph are parallel
- equation doesn’t equal
- no solution
- inconsistent and independent
if the graphs are on the same line
- equation equals each other
- infinite number of solutions
- inconsistent and dependent
x arbitrary
only for same line/infinite solutions
x, solve for y
solve systems with three equations
- First 2 equation s
2. Second 2 equations using same variable
matrix
10
01
- 0=add
- 1= multiply