The demand function for a certain make of exercise bicycle sold exclusively through cable television is p=9−0.02x−−−−−−−−√(0≤x≤4
50) where p is the unit price in hundreds of dollars and x is the quantity demanded per week. Compute the elasticity of demand and determine the range of prices corresponding to inelastic, unitary, and elastic demand. Hint: Solve the equation E(p)=1.
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Given:
The function is:
To find:
The all of the zeros of f(x) algebraically.
Solution:
We have, is means 8 is a zero of given function and (x-8) is a factor of given function.
The function is:
Spittle the middle terms in such a way so that we get (x-8) as a common factor.
Spittle the middle term of the quadratic expression, we get
For zeros, .
Therefore, the all zeros of the given function are -5, 1 and 8.