Question

using the graphing calculator to identify specific values
graph the function ( y = 4 - sqrt{x} ). then use the graph to find the missing ( x - ) or ( y - ) coordinates for the function to the nearest hundredth.
( (4, square) )
( (5, square) )
( (square, 2.50) )

Explanation:

Step1: Substitute \(x = 4\) into the function \(y = 4-\sqrt{x}\)

Substitute \(x = 4\) into \(y = 4-\sqrt{x}\), we get \(y=4-\sqrt{4}\). Since \(\sqrt{4}=2\), then \(y = 4 - 2=2\).

Step2: Substitute \(x = 5\) into the function \(y = 4-\sqrt{x}\)

Substitute \(x = 5\) into \(y = 4-\sqrt{x}\), we get \(y=4-\sqrt{5}\). Since \(\sqrt{5}\approx2.24\), then \(y = 4-2.24 = 1.76\).

Step3: Substitute \(y = 2.50\) into the function \(y = 4-\sqrt{x}\) and solve for \(x\)

Set \(y = 2.50\) in \(y = 4-\sqrt{x}\), then \(2.50=4-\sqrt{x}\). Rearrange the equation: \(\sqrt{x}=4 - 2.50=1.50\). Square both sides, \(x=(1.50)^{2}=2.25\).

Answer:

\((4,2)\), \((5,1.76)\), \((2.25,2.50)\)