Question

inverse relations and functions
guided practice
use a table of values to determine if ( y = pm sqrt{x - 1} ) is a function.
complete the table by answering the questions that follow. the first row has been done for you.
click or tap notes if you need help with the calculations for the equations when ( x = 10 ).

( y = pm sqrt{x - 1} )

( x )	( y )
5
1

( y = pm sqrt{x - 1} )

( x )	( y )
5	2 or -2
1

type your answer and then click done.
what are the values of ( y ) when ( x = 5 )?
your answer may include one or two ( y )-values. if there are two ( y )-values, seperate them with or.

Explanation:

Step1: Substitute \( x = 5 \) into the equation \( y=\pm\sqrt{x - 1} \)

Sustituimos \( x = 5 \) en la ecuación, entonces tenemos \( y=\pm\sqrt{5 - 1} \).

Step2: Simplify the expression inside the square root

Calculamos el valor dentro de la raíz: \( 5 - 1 = 4 \), por lo tanto la ecuación se convierte en \( y=\pm\sqrt{4} \).

Step3: Calculate the square root of 4

Sabemos que \( \sqrt{4}=2 \), entonces \( y = \pm2 \), es decir, \( y = 2 \) o \( y=- 2 \).

Answer:

2 or -2