Y'all

Question 1

asymptotes

Answer 1

a line that graph approaches but never intersects

Question 2

discontinuity:

Answer 2

function is not defines at that point, graph has a break (ex. reciprocal function)

Question 3

complete the square:

Answer 3

a way to factor expressions from standard tov vertex form

inverse: switch x and y

Question 4

vertex:

Answer 4

the max/min of a quadratic function

Question 5

linear function standard form:

Answer 5

ax + by + c=0

Question 6

quick things from standard form

Answer 6

where x-int: -c/a, yint: -c/b and m= -a/b

Question 7

reflections:

Answer 7

y=-a is reflection in x-axis while y=4(-x)… is reflection in y-axis

when saying what variables affect what, please include reflections

Question 8

things to remember unit 1:

Answer 8

numbers on graph, use variables given, x-lies, mas value is not max point, arrows on graph, let statements, plus and minus when square rooted

Question 9

point symmetry:

Answer 9

when the points can be flipped and still land on the function (ex. linear function)

Question 10

line symmetry:

Answer 10

when the function cana be flipped along an axis and fal back on itself (ex. absolute value)

Question 11

rational numbers

Answer 11

can’t have “0” on bottom

Question 12

restrictions:

Answer 12

on denominator (original) as things may simplify but without restrictions, the two graphs are not equivalent

Question 13

holes:

Answer 13

when something cancels out at the top and bottom

Question 14

va:

Answer 14

restrictions of denominator

Question 15

things to remember unit 2:

Answer 15

functions always have “f(x)”, circle the exponent,

Question 16

discriminant:

Answer 16

when it is greater than 0= 2 different roots with 2 x-intercepts and 2 zeroes. when it is equal to zero= 2 equal, real and distinct roots, 1 x-int, 1 zero. when less than 0= 2 complex distinct roots, 0 x-ints, 0 zeroes.

Question 17

things to remember unit 3:

Answer 17

no silly mistakes, check eqns in calculator

Question 18

things to remember unit 4:

Answer 18

asymptote must be a dotted line on graph, must indicate if thing is growing or decaying.

Question 19

principle angle:

Answer 19

measured counterclockwise from x (clockwise if –ve)

Question 20

terminal arm:

Answer 20

hypoteneuse of triangle

Question 21

co-terminal angles:

Answer 21

angles that land on same terminal arm (30=390=-330 etc.)

Question 22

related acute angle:

Answer 22

acute angle near origin (beta angle?)

Question 23

cosine law:

Answer 23

used for sas, sss triangles

Question 24

speed of a wave:

Answer 24

2”pie”r/period

Question 25

things to remember unit 5

Answer 25

side lengths can be –ve, leave things exact,

Question 26

discrete function:

Answer 26

defined only for a set of numbers that can be listen (graph has pointsm dotted line, no arrows)

Question 27

things to remember unit 6:

Answer 27

don’t add and subtract, please multiply and divide, check your answer by doing the sequence. you can use the summation button to find values

Question 28

recursive formula:

Answer 28

when the pattern is based on the term before it. neither arithmetic nor geometric (most of the time). domain is t1=___ then n must be greater than ____.

Question 29

don’t mess dis stuff up or pushed will not be your mom

Answer 29

move negative sign off of denominator, answer the question! check domain of inverses carefully, be careful about logs and if possible, graph it to check, can’t do trig ratios on not right angle triangles! Units! degrees!

Question 30

compound interest formula

Answer 30

used for repaying/investing all at once

Question 31

annuity

Answer 31

when you have no money and plan to make money

Question 32

present value of an annuity

Answer 32

when you are repaying loans or spending savings (slowly)

Question 33

when a function is undefined

Answer 33

it is most likely a horizontal/vertical asymptote,

Question 34

trig identities

Answer 34

please state restrictions

Question 35

real life application of domain and range

Answer 35

see start and end points, use the variables given

Question 36

how many answers does a non special triangle always have?

Answer 36

2

Question 37

LET STATEMENTS

Answer 37

OK

Question 38

when to use a=p(1+i)^n

Answer 38

Use this when the questions says “compounded” and you are looking for how much something will be worth in teh future. There is only one loan or deposit. i.e. If you deposit $5000 in a bank account that earns 4.5%/a interest compounded monthly, how much will you have in 10 years? There is only 1 deposit of $5000, and you’re looking for how much it will be worth in the future.

P=principle
A=future amount
i= interest rate (decimal)
n= # of compounds/year

Question 39

When to use A= r[(1+i)^n-1]/i

Answer 39

(Annuity) Use this for repeated deposits (saving money). i.e. If you deposit $100 each month into a savings account, how much will you have after 3 years if interest is 3%/a compounded monthly. Use annuity because its repeated deposits of $100.

Question 40

pv= R[1-(1+i)^-n]/i

Answer 40

(Annuity) Use this for repeated payments (paying off a loan) i.e. If you make $300 car payments each month and you pay %3/a interest compounded monthly, how much was the car worth when you bought it? There are repeated payments and you want to know what the loan was worth (in the past so negative n).

Question 41

annuity vs compound interest

Answer 41

check for “withdrawals” or “payments”

Question 42

exponents

Answer 42

check if they are in our out of brackets

Question 43

PV = A(1 + i )^-n

Answer 43

Use this when its compound ineterest but you want to know how much it was worth in the past. If you want to have $5000 in your bank account in 10 years, what should you deposit now if your account earns 4.5%/a interest compounded monthly? There is only one deposit happening now and you want to know what that deposit was now (the past) if it will be $5000 in the future.