Answer:
y=sqrt(1-x^2) >= 0
The "=" occur when x = 1 or x = -1
=> The function is bounded below only.
Function [tex]y=\sqrt{(1-x^2)}[/tex] is bounded below.
The term bounded means that the function cannot output values off that bound.
If a function is said to be bounded from below then that means function will have all of its value equal to that bound or above that bound and can't go below.
If a function is said to be bounded from above then that means function will have all of its values equal or lower than that value of bound. It can't go higher than that value.
The given function is:
[tex]y=\sqrt{(1-x^2)}[/tex]
or
[tex]\sqrt{(1-x^2)} \geq 0[/tex]
This shows that the function output values below zero.
Or, we can say that the given function [tex]y=\sqrt{(1-x^2)}[/tex] is bounded below.
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