find the maximum and minimum values of the function over the given interval. f(x) = √x - 4, 0 ≤ x ≤ 9 a…

find the maximum and minimum values of the function over the given interval. f(x) = √x - 4, 0 ≤ x ≤ 9 a minimum: 0, maximum: 9 b minimum: -4, maximum: 5 c minimum: -4, maximum: -1 d minimum: -1, maximum: -4
Answer
Explanation:
Step1: Analyze the function's behavior
The function is $f(x)=\sqrt{x}-4$, and the square - root function $y = \sqrt{x}$ is an increasing function for $x\geq0$.
Step2: Find the value at the lower - bound of the interval
When $x = 0$, substitute $x$ into $f(x)$: $f(0)=\sqrt{0}-4=- 4$.
Step3: Find the value at the upper - bound of the interval
When $x = 9$, substitute $x$ into $f(x)$: $f(9)=\sqrt{9}-4=3 - 4=-1$.
Answer:
C. minimum: -4, maximum: -1