4.5-4.8 test

Question 1

Sin

Answer 1

mid, max, mid, min, mid

Question 2

Cosine

Answer 2

max, mid, min, mid, max

Question 3

Sin, cosine parent function spacing?

Answer 3

pi over 2

Question 4

Amplitude is greater than 1?

Answer 4

vertical stretch

Question 5

Amplitude is less than 1?

Answer 5

vertical shrink

Question 6

amplitude is never?

Answer 6

negative

Question 7

b is never?

Answer 7

negative

Question 8

b is less than 1?

Answer 8

horizontal stretching

Question 9

b is greater than 1?

Answer 9

horizontal shrinking

Question 10

what to do when b is negative?

Answer 10

use trig identities

Question 11

c/b

Answer 11

phase shift

Question 12

bx-c=0, bx-c= 2 pi

Answer 12

left and right endpoints of graph, can also factor out b to find horizontal translation

Question 13

sin/cosine domain?

Answer 13

negative infinity to positive infinity

Question 14

sin/ cosine range?

Answer 14

-1 to 1 inclusive

Question 15

tangent is naturally?

Answer 15

increasing

Question 16

What is the period of tangent?

Answer 16

pi

Question 17

tangent domain?

Answer 17

all R, except pi/2 + npi

Question 18

vertical asymptotes of tangent?

Answer 18

pi/2+npi

Question 19

Range of tangent?

Answer 19

negative infinity to positive infinity

Question 20

tangent bx-c?

Answer 20

-pi/2, pi/2

Question 21

midpoint between two asymptotes?

Answer 21

x-intercept in tangent

Question 22

Cotangent period?

Answer 22

pi

Question 23

cotangent is naturally?

Answer 23

decreasing

Question 24

Domain?

Answer 24

all reals except x= npi

Question 25

Range?

Answer 25

all reals

Question 26

Vertical Asymptotes?

Answer 26

x=npi

Question 27

cotangent bx-c?

Answer 27

0, pi

Question 28

cosecant and secant period?

Answer 28

Period is 2 pi

Question 29

Cosecant domain?

Answer 29

all reals except x equals npi, vertical asymptotes npi

Question 30

Range of cosecant?

Answer 30

negative infinity to negative 1 union 1 to infinity

Question 31

Secant domain?

Answer 31

all reals except x equals pi/2 plus npi, pi/2 plus npi is the vertical asymptotes

Question 32

Range of secant?

Answer 32

same as cosecant

Question 33

inverse sin domain?

Answer 33

negative 1 to 1 inclusive

Question 34

inverse sin range?

Answer 34

negative pi/2, pi over 2 inclusive

Question 35

inverse cosine domain?

Answer 35

negative 1 to 1 inclusive

Question 36

inverse cosine range?

Answer 36

0 to pi inclusive