exam 2 Flashcards
1
Q
a^m/n =
A
(^n√a)^m
2
Q
a^b+c =
A
a^b*a^c
3
Q
(a^b)^c
A
a^b*c
4
Q
e is about
A
2.71828
5
Q
standard form
A
f(x)= a(x-h)^2+k
6
Q
h=
A
-b/2a
7
Q
k=
A
plug h in function
8
Q
if a>0, there is a
A
minimum value of k at x=h
9
Q
if a<0, there is a
A
maximum value of k at x=h
10
Q
graphing polynomial function steps
A
1) intercepts
2) sign check
3) end behavior
4) graph and label
11
Q
when there is a multiplicity of 1, it
A
crosses the x axis
12
Q
a^2+b^2=
A
(a+bi) (a-bi)
13
Q
i^2 is
A
-1
14
Q
use __ to determine real zeros of polynomials
A
long division
15
Q
if c is a zero of p(x),
A
then x-c is a factor of p(x)
16
Q
if a+bi is a zero of p(x),
A
a-bi is also a zero of p(x)
17
Q
coefficient
A
the number ex: 4
18
Q
term
A
the whole thing ex: 4x^2
19
Q
4 domain constraints of logarithmic functions
A
- 1/x ;x≠0
- √x ;x≥0 *n is even
- 1/√x ;x>0 *n is even *root is alone
- logaX; x>0
20
Q
graphing rational functions steps
A
- factor
- intercepts
- x int on numerator
- plug in 0 for y int - VA (x=)
- solve denominator
* sign chart - HA (y=)
- graph and label
21
Q
transformations
A
- base
- horizontal shifts
- reflections
- vertical shifts
22
Q
logarithmic properties
A
loga1= 0 logaA= 1 logaA^x=x a^logaX= x logaA^c= ClogaA loga(AB) = logA+logB loga(A/B)= logA-logB
