Exam Review

Question 1

what is a function

Answer 1

fir every x-value there is only one y-value

Question 2

what are the “parent functions”

Answer 2

linear, quadratic, square root, reciprocal, absolute value

Question 3

standard points of y=x

Answer 3

(-2,-2)
(-1,-1)
(0,0)
(1,1)
(2,2)

Question 4

standard points of y=x2

Answer 4

(-2,4)
(-1,1)
(0,0)
(1,1)
(2,4)

Question 5

standard points of y=√x

Answer 5

(0,0)
(1,1)
(4,2)
(9,3)
(16,4)

Question 6

standard points of y=1/x

Answer 6

(-2,-0.5)
(-1,-1)
(0, err)
(1,1)
(2,0.5)

Question 7

standard points of y=|x|

Answer 7

(-2,2)
(-1,1)
(0,0)
(1,1)
(2,2)

Question 8

steps to find inverse

Answer 8

step 1: convert “x-y” notation
step 2: switch “x” & “y”
step 3: solve “y”
step 4: convert back

Question 9

the shape of a quadratic function is called

Answer 9

parabola

Question 10

π =

Answer 10

3.14

Question 11

standard form

Answer 11

y = ax2 + bx + c

Question 12

factored form

Answer 12

y = a (x-j) (x-i)

Question 13

vertex form

Answer 13

y = a (x-h)2 + k

Question 14

a>0

Answer 14

opens up, min.

Question 15

a<0

Answer 15

opens down, max

Question 16

perfect square numbers

Answer 16

1,4,9,16,25,36,49,64,81,100,121,144,169

Question 17

what is a radical

Answer 17

square root

Question 18

what is an entire radical

Answer 18

a radical with a coefficient in front of the root

Question 19

what is a mixed radical

Answer 19

a radical with a coefficient other than one infront of the root

Question 20

how to solve quadratic equations

Answer 20

1. factoring
2. quadratic formula
3. graphing corresponding quadratic function

Question 21

quadratic formula

Answer 21

x = -b +/- √b2 - 4ac
———————
2a

Question 22

discriminat

Answer 22

D = b2 - 4ac

Question 23

b>1

Answer 23

increasing, faster growth

Question 24

0<b<1

Answer 24

decreasing, faster decay

Question 25

points of 2x

Answer 25

(-2, 0.25)
(-1, 0.5)
(0, 1)
(1, 2)
(2, 4)

Question 26

points of 5x

Answer 26

(-2, 0.04)
(-1, 0.2)
(0, 1)
(1, 5)
(2, 25)

Question 27

points of (1/2)x

Answer 27

(-2, 4)
(-1, 2)
(0, 1)
(1, 0.5)
(2, 0.25)

Question 28

points of (1/5)x

Answer 28

(-2, 25)
(-1, 5)
(0, 1)
(1, 0.2)
(2, 0.4)

Question 29

linear function

Answer 29

constant first difference

Question 30

quadratic function

Answer 30

constant second difference

Question 31

exponential functions

Answer 31

ratio of first differences are constant

Question 32

transformation of exponential functions

Answer 32

f(x) = ab k(x-d) + c

Question 33

sin

Answer 33

opp/hyp

Question 34

cos

Answer 34

adj/hyp

Question 35

tan

Answer 35

opp/adj

Question 36

cse

Answer 36

1/sin

Question 37

sec

Answer 37

1/cos

Question 38

cot

Answer 38

1/tan

Question 39

isosceles

Answer 39

45 degree triangle

Question 40

equilateral

Answer 40

30 & 60 degree triangle

Question 41

sine law

Answer 41

a/sinA = b/sinB = c/sinC
sinA/a = sinB/b = sinC/c

Question 42

cosine law (finding side)

Answer 42

c2 = a2 + b2 - 2abcosC

Question 43

cosine law (finding angle)

Answer 43

cosC = a2 + b2 - c2 / 2ab

Question 44

key points of sine graph

Answer 44

(0, 0)
(90, 1)
(180, 0)
(270, -1)
(360, 0)

Question 45

key points of cosine graph

Answer 45

(0, 1)
(90, 0)
(180, -1)
(270, 0)
(360, 1)

Question 46

transformations of sinusoidal functions

Answer 46

f(x) = a sin k (x-d) + c
g(x) = a cos k (x-d) + c

Question 47

amplitude

Answer 47

max-min/2

Question 48

period =

Answer 48

360/k

Question 49

equation of axis

Answer 49

max+min/2