Week 9

Question 1

State the amplitude, period (in degrees), minimum value of y and maximum values of y for each of the following functions. Sketch each of the following functions, showing at least one full period (starting at x= 0◦).

y= 5 sin(x)

Answer 1

Question 2

State the amplitude, period (in degrees), minimum value of y and maximum values of y for each of the following functions. Sketch each of the following functions, showing at least one full period (starting at x= 0◦).

y= _1/4_cos(2x)

Answer 2

Question 3

State the amplitude, period (in degrees), minimum value of y and maximum values of y for each of the following functions. Sketch each of the following functions, showing at least one full period (starting at x= 0◦).

y=−4 sin(2x) + 1

Answer 3

Question 4

State the amplitude, period (in degrees), minimum value of y and maximum values of y for each of the following functions. Sketch each of the following functions, showing at least one full period (starting at x= 0◦).

y= 3 cos(4x)−2

Answer 4

Question 5

State the amplitude, period (in degrees), minimum value of y and maximum values of y for each of the following functions. Sketch each of the following functions, showing at least one full period (starting at x= 0◦).

y= 2 sin(x/2)+ 1

Answer 5

Question 6

State the amplitude, period (in degrees), minimum value of y and maximum values of y for each of the following functions. Sketch each of the following functions, showing at least one full period (starting at x= 0◦).

y= 3 cos(x/4)−3

Answer 6

Question 7

Sketch each of the following functions (in radians) showing at least one full period (starting at x= 0).

y= 2 sin(x−π/2)

Answer 7

Question 8

Sketch each of the following functions (in radians) showing at least one full period (starting at x= 0).

y= 3 cos [2(x+π)]

Answer 8

Question 9

Sketch each of the following functions (in radians) showing at least one full period (starting at x= 0).

y=−cos[1/2(x+π/2)

Answer 9

Question 10

Sketch each of the following functions (in radians) showing at least one full period (starting at x= 0)

y= sin(4x−π)

Answer 10

Question 11

Sketch each of the following functions.

y= 3 sin[2(x−π/2)]+ 4 for 0≤x≤2π

Answer 11

Question 12

Sketch each of the following functions.

y=−6 cos(x+π/2)−2 for −2π≤x≤2π

Answer 12

Question 13

Answer 13

Question 14

Answer 14

Question 15

Answer 15

Question 16

Answer 16

Question 17

Answer 17

Question 18

Answer 18

Question 19

Answer 19

Question 20

Answer 20

Question 21

Answer 21

Question 22

Answer 22

Question 23

Answer 23

Question 24

Determine whether the following functions are continuous or discontinuous

Answer 24

Question 25

continuous or discontinuous

Answer 25

Question 26

continuous or discontinuous

Answer 26