Function Families Flashcards
1
Q
horizontal line
A
constant
2
Q
y=#
A
constant
3
Q
y=2
A
constant
4
Q
straight line, nothing special about it
A
linear
5
Q
usually slope-intercept or standard form
A
linear
6
Q
y=mx+b, ax+by=c
A
linear
7
Q
y=1/2x-4
A
linear
8
Q
2x+3y=9
A
linear
9
Q
straight line through the origin
A
direct variation
10
Q
y=#x
A
direct variation
11
Q
y=4x
A
direct variation
12
Q
straight line through the origin with a slope of +1
A
identity
13
Q
y=x
A
identity
14
Q
looks like a V
A
absolute value
15
Q
absolute value around x for equation
A
absolute value
16
Q
y=|x-2|+8
A
absolute value
17
Q
looks like steps
A
greatest integer/step
18
Q
double brackets around x
A
greatest integer/step
19
Q
y=2/3[[x]]
A
greatest integer/step
20
Q
looks like a u
A
quadratic
21
Q
x² is highest exponent
A
quadratic
22
Q
y=3x²-4x+1
A
quadratic
23
Q
starts at an endpoint and keeps going forever
A
square root
24
Q
has square root on the x
A
square root
25
y=(sqrt)x+2 -1
square root
26
one sideways "swish"
cube root
27
has a cube root on the x
cube root
28
y=(cbrt)x+2 -1
cube root
29
could be one "swish" or it could have three "sides"
cubic
30
y=2x^3+3x^2-1
cubic
31
has 4 "sides"
quartic
32
x^4 is highest exponent
quartic
33
y=x^4+3x^3-4x+1
quartic
34
has 5 "sides"
quintic
35
x^5 is highest exponent
quintic
36
y=x^5+2x^3+6x-4
quintic
37
has vertical and horizontal asymptotes and/or holes, can touch axes
rational
38
has variables in the denominator but more than just a number over x
rational
39
y=3overx+2
rational
40
x and y axes are asymptotes
inverse variation
41
just a number over x
inverse variation
42
y=3/x
inverse variation
43
one horizontal asymptote
exponential
44
x is in the exponent
exponential
45
y=2^x +3
exponential
46
one vertical asymptote
logarithmic
47
has the word log in it
logarithmic
48
y=log2x
logarithmic
49
broken into pieces
piecewise
50
made up of more than one equation with restrictions on domain
piecewise
51
f(x)= {x+3, x<-1, 2, -12
piecewise
