unit 1

Question 1

domain of a radical

Answer 1

cannot contain negative. set expression under radical >_0 and solve for variable.

ex:y= sgrt x+5
x+5>0
x> -5
[-5, infin)

Question 2

domain of rational

Answer 2

cant have zeros in denominator. Domain is everything besides what values of x make the variable equal zero.

Question 3

domain of y= 15/x

Answer 3

arn

Question 4

local/relative maximums and minimums

Answer 4

occur at turns (sometimes endpoints)

Question 5

absolute max/min

Answer 5

highest and lowest y values

Question 6

symmetrical to x-axis

Answer 6

neither

Question 7

symmetry to the y-axis

Answer 7

even

Question 8

symmetry to the origin (rotate 180 about origin)

Answer 8

Odd

Question 9

Bounded BELOW

Answer 9

has absolute MIN or hasy

Question 10

bounded ABOVE

Answer 10

has absolute MAX or hasy

Question 11

BOUNDED

Answer 11

has BOTH (or TWO hasys)

Question 12

UNBOUNDED

Answer 12

NOT bounded above or below

Question 13

How to determine boundedness

Answer 13

Does it go up or down forever?

Question 14

Horizontal asymptote when:

Answer 14

as x goes to either infinity the curve approaches constant

Question 15

Vertical asymptote when:

Answer 15

as x approaches constant from either direction then curve goes towards either infinity
NEVER crosses

Question 16

Oblique asymptote when:

Answer 16

as x goes to either infinity, curve approaches mx+b

Question 17

Vertical Asymptote when degrees are small/big

Answer 17

y=0

Question 18

Hasy when degrees are equal (same/same)

Answer 18

y= LC/LC

Question 19

Hasy when big/small

Answer 19

none, but slant/oblique

Question 20

How to find vertical asymptotes

Answer 20

set denominator = 0 and solve
zeros (if any) are VA (assuming no cancellations)
everything else is domain

Question 21

____
x

Answer 21

domain restriction