Determine if the function is bounded above, bounded below, bounded on its domain, or unbounded on its domain.
-$$y = 1 - x ^ { 2 }$$
A) Bounded above
B) Bounded domain
C) Unbounded
D) Bounded below

Question

Quizplus · Accepted Answer

The function $ y = 1 - x^2 $ is a downward-opening parabola with a maximum value of 1 at $ x = 0 $. Therefore, it is bounded above by 1.

Determine If the Function Is Bounded Above, Bounded Below, Bounded y=1−x2y = 1 - x ^ { 2 }y=1−x2

Determine If the Function Is Bounded Above, Bounded Below, Bounded $y = 1 - x ^ { 2 }$