Table #2 Frequency
f, Hz
The Difference
The Difference
Between the Positions, Between the Positions,
Wavelength 2, m
Speed
of
1 = 2 (N2 avg - N1 avg) Sound
N2 avg - N1 avg = N2, m
v, m/s
N2 avg - N1 avg = N2,
cm
42.2
39.8
32.65
16.62
0.422
0.398
0.844
0.796
384
426.7
512
1024
324.1
339.7

connect the batteries in series and hope

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 .