chapter 1

Question 1

you can solce for y by

Answer 1

factoring

Question 2

denominator restrictions interval notation

Answer 2

(-inf,x)U(x,inf)

Question 3

after factor do this

Answer 3

set equal to 0 and solve still

Question 4

zeros dont have to

Answer 4

cross through

Question 5

open dots for intervals must be

Answer 5

U

Question 6

factoring cubes

Answer 6

(a+b)(a^2+ab+b^2)

Question 7

aos

Answer 7

-b/2a

Question 8

function

Answer 8

relationship between 2 variables where 1 determines the other

Question 9

function diagram

Answer 9

f(x) name of func
x input or independent variable
y output or dependent variable

Question 10

values of x that do have output

Answer 10

inputs and domain

Question 11

highest and lowest y vaues on a graph

Answer 11

outputs and range

Question 12

domain of a function

Answer 12

the set of all possible inputs that produce a defined output

Question 13

range

Answer 13

set of all outputs

Question 14

determining domain and range with word problems

Answer 14

reasonable solutions

Question 15

function is increasing on interval (a,b) if

Answer 15

y values are getting bigger when a<x<b

Question 16

function is decreasing on interval (a,b) if

Answer 16

y values are getting smaller when a<x<b

Question 17

for increasing and decreasing never use

Answer 17

brackets

Question 18

modulus parent function domain, range, increasing, and decreasing

Answer 18

|x|, (-inf, inf), [0, inf), (0, inf), (-inf, 0)

Question 21

radical parent function domain, range, increasing, and decreasing

Answer 21

√x, [0, inf), [0, inf), (0, inf), never

Question 22

recipricol parent function decreasing

Answer 22

(-inf, 0), (0, inf)

Question 23

parent function

Answer 23

the simplest function of a family of functions

Question 24

families of functions

Answer 24

quadratic, linear, etc. and share similar algebraic properties, graphs, and behaviors

Question 25

parent function with constant rate of change

Answer 25

straight line

Question 26

table go up by same number vs second difference

Answer 26

linear vs quadratic

Question 27

reflection about x axis coordinates

Answer 27

(x,y) to (x,-y)

Question 28

reflection about y axis cooridantes

Answer 28

(x,y) to (-x,y)

Question 29

h and k

Answer 29

asymptotes or vertex

Question 30

checking y axis symmetry

Answer 30

plug in opposite do you get same output

Question 31

checking origin symmetry

Answer 31

olug in opposite do you get opposite output

Question 32

even function

Answer 32

y axis symmetry, f(x)=f(-x), (x, y) to (-x, y)

Question 33

odd function

Answer 33

origin symmetry, f(x)=-f(x), (x,y) to (-x,-y)

Question 34

function that is both even and odd

Answer 34

f(-x)=y and f(-x)=-y, so f(-x) can only have one output which only happens when x=-x so x=0

Question 35

domain of f(g(x))

Answer 35

subset of g's domain that will produce values

Question 36

domain order matterrs

Answer 36

f(g(x)) not same as g(f(x))

Question 37

1/x dont gorget

Answer 37

0 cant b x even in recip

Question 38

graphs of compositives

Answer 38

make table with inside func as y, make 2nd table with x values same and y values are the y values of last table inputted to new equation

Question 39

inverse functions

Answer 39

undo the original function

Question 40

using compositions plug inverse for x

Answer 40

if you still get x means they are in fact inverse

Question 41

compositions

Answer 41

taking output of one func and using it as input for another

Question 42

not function what words to say

Answer 42

not a dunction because when domain and range are reversed there wouldbe repeated inputs with same output

Question 43

piecewise defined functions

Answer 43

different rules for certain domain intervals

Question 44

ifnding the open hole

Answer 44

plug nto not equal to value then solve