complete the table for the function ( y = log_{2}(x - 3) ).\n\ngraph the function ( y = log_{2}(x - 3)…

Explanation:

Step1: Calculate ( y ) for ( x = \frac{13}{4} )

Substitute ( x = \frac{13}{4} ): ( y = \log_2\left(\frac{13}{4} - 3\right) = \log_2\left(\frac{1}{4}\right) = -2 )

Step2: Calculate ( y ) for ( x = \frac{7}{2} )

Substitute ( x = \frac{7}{2} ): ( y = \log_2\left(\frac{7}{2} - 3\right) = \log_2\left(\frac{1}{2}\right) = -1 )

Step3: Calculate ( y ) for ( x = 4 )

Substitute ( x = 4 ): ( y = \log_2(4 - 3) = \log_2(1) = 0 )

Step4: Calculate ( y ) for ( x = 5 )

Substitute ( x = 5 ): ( y = \log_2(5 - 3) = \log_2(2) = 1 )

Step5: Calculate ( y ) for ( x = 7 )

Substitute ( x = 7 ): ( y = \log_2(7 - 3) = \log_2(4) = 2 )

Answer:

( x )	( y )
( \frac{13}{4} )	( -2 )
( \frac{7}{2} )	( -1 )
( 4 )	( 0 )
( 5 )	( 1 )
( 7 )	( 2 )

Two points with integer coordinates: ((4, 0)), ((5, 1))