Science 10 Graphical Methods for Determining Work
Solve each problem using the graphical method for determining work.
1. Determine the amount of work done by the force represented in each force versus position graph.
(a)
180
140
12.0
100
20
60
40
20
1.0 2.0 3.0 4.0 50 60 70 80 90 100

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .

b

explanation: