Step Function Evaluation

Section 1.6
Questions 28 & 30

See attachment.

Question 28

Part (a)

h(-2) = [[ -2 + 3]] = [[ 1 ]] = 1

Part(b)

h(1/2) = [[(1/2) + 3]] = [[3.5]] = 3

Part (c)

h(4.2) = [[4.2 + 3]] = [[7.2 ]] = 7

Part (d)

h(-21.6) = [[-21.6 + 3]] = [[-18.6]] = -19

You say?

Question 30

Part (a)

g(1/8) = -7[[(1/8) + 4]] + 6 = -7[[0.5]] + 6 = 6

Part (b)

g(9) = -7[[9 + 4 ]] + 6 = -7[[13]] + 6 = -85

Part (c)

g(-4) = -7[[-4 + 4]] + 6 = -7[[0]] + 6 = 6

Part (d)

g(3/2) = -7[[(3/2) + 4]] + 6 = -7[[5.5]] + 6 = -29

You say?

Note: I may do 27 and 29 before the week ends. Let me think about it. In any case, no new topics will be explore this week.

 

corrections to the parts where you made mistake:

Question 30

Part (a)

g(1/8) = -7[[(1/8) + 4]] + 6 = -7[[33/8]] + 6 =-[[28.875]]+ 6=-29+6=-23

Part (d)

g(3/2) = -7[[(3/2) + 4]] + 6 = -7[[5.5]] + 6 = -[[38.5]] + 6= -39+6=-33

 

Mistakes are inevitable.