The graph shows that force required to move the object feet along the axis.

(a)

Observe the graph:

The force required to move the object feet along the axis is pounds is 6 pounds.

Work done by the force as the object is moved from to is .

Substitutue corresponding values in the work done formula.

The work done to move the object feet along the axis is ft-lb.

(b)

Work done by the force as the object is moved from to is .

Observe the graph:

The force is a piecewise function.

The value of the function in is .

Find the value of the function in .

Consider the two points and in .

Point -slope form of line equation: .

Substitute and in the formula.

Thus, .

The work done to move the object feet along the axis is ft-lb.

(c)

Observe the graph:

The force required to move the object feet along the axis is pounds.

The work done to move the object feet along the axis is ft-lb.

(d)

Observe the graph:

The force required to move the object feet along the axis is pounds.

.

Substitutue corresponding values in the work done formula.

ft-lb.

The work done to move the object feet along the axis is ft-lb.

(a). The work done to move the object feet along the axis is ft-lb.

(b) The work done to move the object feet along the axis is ft-lb.

(c) The work done to move the object feet along the axis is ft-lb.

(d) The work done to move the object feet along the axis is ft-lb.