An astronomical telescope works by having a large objective lens and an eyepiece. It produces a virtual, inverted, and magnified image of distant objects. This is because the objective lens gathers light from distant objects and forms a real, inverted image, which is then magnified by the eyepiece. The final image appears upside down (inverted) and larger (magnified) than the original object.
Match the following:
In the following, \( [x] \) denotes the greatest integer less than or equal to \( x \). 
Choose the correct answer from the options given below:
For x < 0:
f(x) = ex + ax
For x ≥ 0:
f(x) = b(x - 1)2