Final Exam

Question 1

y = mx + b

Answer 1

straight line

Question 2

y=x^2

Answer 2

U

Question 3

y= |x|

Answer 3

V

Question 4

y= sqrt(x)

Answer 4

thin rainbow from origin

Question 5

What are the domain restrictions for a polynomial

Answer 5

none, (- infinity, infinity)

Question 6

what are the domain restrictions for rational functions

Answer 6

x can’t = 0

Question 7

domain restrictions of radical functions

Answer 7

x cannot be < 0

Question 8

what are the coordinates for y = e^x

Answer 8

x: 0 1
y: 1 e

Question 9

a = b^c

Answer 9

logb(a) = c

Question 10

Log (A + B)

Answer 10

loga * logb

Question 11

log ( A - B)

Answer 11

loga / logb

Question 12

loga(b^c)

Answer 12

c loga (b)

Question 13

SOHCAHTOA

Answer 13

sine: opposites/hypotenuse cos: adjacent/hypotenuse tan: opposite/adjacent

Question 14

pi in degrees

Answer 14

180

Question 15

30-60-90 triangles

Answer 15

1(short side) 2(hypotenuse) sqrt3(long side)

Question 16

how to find short side when you have long side?

Answer 16

divide by sqrt 3

Question 17

how to find long side when you have short side?

Answer 17

multiply by sqrt 3

Question 18

45-45-90

Answer 18

1(both sides) sqrt2 (hypotenuse)

Question 19

key points for sine graph

Answer 19

x: pi, pi/2, 0, -pi/2, -pi
y: 0, 1, 0, -1, 0

Question 20

key points for cos graph

Answer 20

x: pi, pi/2, 0, -pi/2, -pi
y: 1, 0, -1, 0, 1

Question 21

y = asin(kx) + c

Answer 21

a = vertical shift
period = 2pi/k
c = horizontal shift

Question 22

sin(theta + 2pi) cos(theta + 2pi)

Answer 22

original angle because it’s just a 360

Question 23

sin( pi/2 + theta)

Answer 23

cos

Question 24

cos(pi/2 + theta)

Answer 24

sin

Question 25

sin^2x + cos^2x

Answer 25

1

Question 26

tan^2x + sec^2x

Answer 26

1

Question 27

cot^2x + csc^2x

Answer 27

1

Question 28

domain for arcsine

Answer 28

[- pi/2, pi/2]

Question 29

domain for arccosine

Answer 29

[0, pi]

Question 30

domain for arctangent

Answer 30

[- pi/2, pi/2]