Question

It’s not zero either but the other values equal 0

Answer 1

The answer is 0

Explanation:

When asked to find an absolute maximum or minimum, you should always get a y-value as an answer.

The interval given to you in this question [-2,2] are actually x values you have to plug into the original equation to find the y value.

So plug in all your choices into the equation!

• 
  `f(x)=\sqrt{4-(-2)^(2) }`=
  `√(4-4)` =0
• 
  `f(x)=\sqrt{4-(0)^(2) }`=
  `f(x)=√(4-(0)) }` =
  `√(4)` =2
• 
  `f(x)=\sqrt{4-(1)^(2) }`=
  `f(x)=√(4-1 )` =
  `√(3)` ≈ 1.73
• 
  `f(x)=\sqrt{4-(2)^(2) }`=
  `√(4-4)` = 0

From these answers, the largest y-value (2) is the answer. The x-value from the interval that gave us this answer was 0, so the answer is 0.