graph the function. give the minimum and maximum values over the specified interval. f(x)=√(x + 8), 4≤x≤9…

graph the function. give the minimum and maximum values over the specified interval. f(x)=√(x + 8), 4≤x≤9 the minimum value is 2√3 (simplify your answer. type an exact answer, using radicals as needed.) the maximum value is (simplify your answer. type an exact answer, using radicals as needed.)

graph the function. give the minimum and maximum values over the specified interval. f(x)=√(x + 8), 4≤x≤9 the minimum value is 2√3 (simplify your answer. type an exact answer, using radicals as needed.) the maximum value is (simplify your answer. type an exact answer, using radicals as needed.)

Answer

Explanation:

Step1: Analyze the function's behavior

The function $f(x)=\sqrt{x + 8}$ is an increasing - function because the square - root function $y=\sqrt{u}$ is increasing when $u\geq0$ and $u=x + 8$ is also an increasing function.

Step2: Find the minimum value

When $x = 4$, $f(4)=\sqrt{4 + 8}=\sqrt{12}=2\sqrt{3}$.

Step3: Find the maximum value

When $x = 9$, $f(9)=\sqrt{9+8}=\sqrt{17}$.

Answer:

$\sqrt{17}$