MAT 1114 Test 3 Review

Question 1

Which is the equation of the tan function with period π and a vertical shift down 3 units?

Accepted Answer

y = -3 + tan x

Question 2

Give the (P)eriod, (V)ertical shift, and Phase Shift (PS):y = 1 + sec((x - π)/3)

Accepted Answer

P: 6π, V: 1, PS: π to the right

Question 3

Give the (P)eriod, (V)ertical shift, and Phase Shift (PS):y = 3 + cot ((x + π)/4)

Accepted Answer

P: 4π, V: 3, PS: π to the left

Question 4

Graph y = csc (2x)

Accepted Answer

Nope., Got it!

Question 5

What is the range of sec x?

Accepted Answer

(-∞, -1]U[1,∞)

Question 6

See below

Accepted Answer

y = 3 cos 2t

Question 7

Graph y = cos (x + π/6)

Accepted Answer

Got it!, Nope.

Question 8

Give the (P)eriod, (V)ertical shift, and Phase Shift (PS): y = 3 tan x

Accepted Answer

P: π, V: none, PS: none

Question 9

Determine which of the following have the same graph:

Accepted Answer

-3cosx, -3sin(x+π/2)

Question 10

Graph y = -cot ((1/2)x)

Accepted Answer

Nope., Got it!

Question 11

Give the (A)mplitude, (P)eriod, (V)ertical shift, and Phase Shift (PS): y = -π + 2cos(x - π/8)

Accepted Answer

A: 2, P: 2π, V: -π, PS: π/8 to the right

Question 12

Give the (P)eriod, (V)ertical shift, and Phase Shift (PS): y = 5 + 2 csc x

Accepted Answer

P: 2π, V: 5, PS: none

Question 13

Graph y = 3 + sin (x + π/4)

Accepted Answer

Got it!, Nope.

Question 14

Which of the six trigonometric functions has a period of 2⫪ and an asymptote of x=⫪/2?

Accepted Answer

sec x

Question 15

Graph y = tan(2x + π/4)

Accepted Answer

Got it!, Nope.

Question 16

Graph y = 1 - 2 sin x

Accepted Answer

Got it!, Nope.

Question 17

See below

Accepted Answer

12.5 ft

Question 18

Graph y = tan(x/3)

Accepted Answer

Got it!, Nope.

Question 19

Graph y = -2 sec x

Accepted Answer

Nope., Got it!

Question 20

What is the minimum value of y = 3 + 2 cos (6x)?

Accepted Answer

1

Question 21

Give the (A)mplitude, (P)eriod, (V)ertical shift, and Phase Shift (PS):y = -4 + 3 sin (x + π/3)

Accepted Answer

A: 3, P: 2π, V: -4, PS: π/3 to the left

Questions 21