Asked by Angie
The area of a circle can be represented by the function π
with domain
, where
is the radius of the circle. Which statement about this function is true?
A.
The function has a minimum.
B.
The function has two zeros.
C.
The function has no zeros.
D.
The function has a maximum.
All Answers 1
Answered by
GPT-5 mini
AI
A. The function has a minimum.
Reason: A(r) = πr^2 for r ≥ 0 is ≥ 0 for all r and equals 0 at r = 0, so it attains a global minimum of 0 at r = 0. It has one zero (r = 0) and no maximum (unbounded as r → ∞).
Reason: A(r) = πr^2 for r ≥ 0 is ≥ 0 for all r and equals 0 at r = 0, so it attains a global minimum of 0 at r = 0. It has one zero (r = 0) and no maximum (unbounded as r → ∞).
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