exam 2

Question 1

a^m/n =

Answer 1

(^n√a)^m

Question 2

a^b+c =

Answer 2

a^b*a^c

Question 3

(a^b)^c

Answer 3

a^b*c

Question 4

e is about

Answer 4

2.71828

Question 5

standard form

Answer 5

f(x)= a(x-h)^2+k

Question 6

h=

Answer 6

-b/2a

Question 7

k=

Answer 7

plug h in function

Question 8

if a>0, there is a

Answer 8

minimum value of k at x=h

Question 9

if a<0, there is a

Answer 9

maximum value of k at x=h

Question 10

graphing polynomial function steps

Answer 10

1) intercepts
2) sign check
3) end behavior
4) graph and label

Question 11

when there is a multiplicity of 1, it

Answer 11

crosses the x axis

Question 12

a^2+b^2=

Answer 12

(a+bi) (a-bi)

Question 13

i^2 is

Answer 13

-1

Question 14

use __ to determine real zeros of polynomials

Answer 14

long division

Question 15

if c is a zero of p(x),

Answer 15

then x-c is a factor of p(x)

Question 16

if a+bi is a zero of p(x),

Answer 16

a-bi is also a zero of p(x)

Question 17

coefficient

Answer 17

the number ex: 4

Question 18

term

Answer 18

the whole thing ex: 4x^2

Question 19

4 domain constraints of logarithmic functions

Answer 19

1. 1/x ;x≠0
2. √x ;x≥0 *n is even
3. 1/√x ;x>0 *n is even *root is alone
4. logaX; x>0

Question 20

graphing rational functions steps

Answer 20

1. factor
2. intercepts
   - x int on numerator
   - plug in 0 for y int
3. VA (x=)
   - solve denominator
   * sign chart
4. HA (y=)
5. graph and label

Question 21

transformations

Answer 21

1. base
2. horizontal shifts
3. reflections
4. vertical shifts

Question 22

logarithmic properties

Answer 22

loga1= 0
logaA= 1
logaA^x=x
a^logaX= x
logaA^c= ClogaA
loga(AB) = logA+logB
loga(A/B)= logA-logB