Reading...
Play button
Play button
Use LEFT and RIGHT arrow keys to navigate between flashcards;
Use UP and DOWN arrow keys to flip the card;
H to show hint;
A reads text to speech;
39 Cards in this Set
- Front
- Back
|
Relation
|
any set of ordered pairs
|
|
|
domain
|
set of 1st components of the ordered pairs of a relation
|
|
|
range
|
set of 2nd components of the ordered pairs of a relation
|
|
|
function
|
relation in which no two ordere pairs have the same 1st component
|
|
|
vertical line test
|
If a vertical line intersects the graph of a relation in more than one point, the relation is not a function
|
|
|
understood domain
|
largest set of real numbers for which the rule makes sense and is a real number
|
|
|
independent variable
|
variable associated with the domain
|
|
|
dependent variable
|
variable associated with the range
|
|
|
explicit rule
|
ex. y=-3x+5. Solved for variable
|
|
|
implicit rule
|
3x+y=5. NOT solved for variable
|
|
|
average rate of change from a to b
|
f(b)-f(a)
---------- b-a aka. Slope of secant line |
|
|
increasing on an interval
|
for all x, y in the interval with x<y, we have f(x)<f(y)
|
|
|
Decreasing on an interval
|
For all x, y in the interval with x<y, we have f(x)>f(y)
|
|
|
contant on an interval
|
For all x in the interval, the values of f(x) are equal
|
|
|
local maximum
|
a value f(c) such that f(c)>f(x) for all x in some open interval containing c. (High point on graph)
|
|
|
local minimum
|
a value f(c) such that f(c)<f(x) for all x in some open interval containing c. (lowest point on graph)
|
|
|
local extrema
|
local maxima or local minima
|
|
|
even function
|
function f such that f(-x)=f(x). (has y-axis symmetry)
|
|
|
odd function
|
function f such that f(-x)= -f(x). (origin symmetry)
|
|
|
sum function
|
(f+g)(x)=f(x)+g(x)
|
|
|
difference function
|
(f-g)(x)=f(x)-g(x)
|
|
|
product function
|
(f*g)(x)=f(x)*g(x)
|
|
|
quotient function
|
(f/g)(x)=f(x)/g(x)
|
|
|
composite function
|
(f o g)(x)=f(g(x))
|
|
|
y=f(x) + k
|
vertical shift up k
|
|
|
y=f(x-h)
|
horizontal shift right h
|
|
|
y=-f(x)
|
reflection about the x-axis
|
|
|
y=f(-x)
|
reflection about the y-axis
|
|
|
y=af(x)
|
vertical stretch by a
|
|
|
y=f(ax)
|
horizontal stretch by 1/a
|
|
|
linear
|
f(x)=mx+b
|
|
|
Constant
|
f(x)=b
|
|
|
identity
|
f(x)=x
|
|
|
square
|
f(x)=x^2
|
|
|
cube
|
f(x)=x^3
|
|
|
square root
|
f(x)=sq.rt.(x)
|
|
|
reciprocal
|
f(x)=1/x
|
|
|
absolute value
|
f(x)=lxl
|
|
|
greatest integer
|
f(x)=[x]
|
