use the graph of the function f(x)=-√(x - 5)+4 shown. does the function have any maximum or minimum values…

use the graph of the function f(x)=-√(x - 5)+4 shown. does the function have any maximum or minimum values? select the words from the drop - down lists to correctly complete the sentence. show hints the function has a value of

use the graph of the function f(x)=-√(x - 5)+4 shown. does the function have any maximum or minimum values? select the words from the drop - down lists to correctly complete the sentence. show hints the function has a value of

Answer

Explanation:

Step1: Analyze the graph

By observing the graph of (y =-\sqrt{x - 5}+4), we note the behavior of the function. The square - root function (\sqrt{x - 5}) has a domain (x\geq5). The negative sign in front of the square - root flips the graph of (\sqrt{x - 5}) over the (x) - axis and then we shift it up by 4 units.

Step2: Determine the maximum or minimum

The square - root part (\sqrt{x - 5}\geq0) for all (x) in its domain. When we multiply it by - 1 and add 4, we get (y=-\sqrt{x - 5}+4\leq4). The maximum value of the function occurs when (\sqrt{x - 5}=0), which is when (x = 5).

Answer:

The function has a maximum value of 4.