Step Function Evaluation

[nycmathguy]

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.

 

[MathLover1]

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

 

[nycmathguy]

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.