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THEORY
MEDIA
MISSION
Which is the distance traveled and which is the total displacement of astronaut B, in the
following case?
a) 300 m distance traveled and a bit more than 200 m displacement
b). More than 200 m distance traveled and 300 m displacement
c) They are the same
d) 200 m distance traveled and 200 m displacement
VIEW THEORY

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 .