What is the value of the following function when [tex]\( x = 0 \)[/tex]?

A. [tex]\( y = -5 \)[/tex]
B. [tex]\( y = -2 \)[/tex]
C. [tex]\( y = -1 \)[/tex]



Answer :

To determine the values of the given functions when [tex]\( x = 0 \)[/tex]:

1. For the function [tex]\( y = -5 \)[/tex] at [tex]\( x = 0 \)[/tex]:

The function [tex]\( y = -5 \)[/tex] is a constant function, meaning that it always evaluates to [tex]\(-5\)[/tex] regardless of the value of [tex]\( x \)[/tex]. Therefore, when [tex]\( x = 0 \)[/tex],

[tex]\[ y = -5 \][/tex]

2. For the function [tex]\( y = -2 \)[/tex] at [tex]\( x = 0 \)[/tex]:

Similarly, [tex]\( y = -2 \)[/tex] is also a constant function. This implies that the value of [tex]\( y \)[/tex] does not depend on [tex]\( x \)[/tex]. Therefore, when [tex]\( x = 0 \)[/tex],

[tex]\[ y = -2 \][/tex]

3. For the function [tex]\( y = -1 \)[/tex] at [tex]\( x = 0 \)[/tex]:

Again, [tex]\( y = -1 \)[/tex] is a constant function. It evaluates to [tex]\(-1\)[/tex] regardless of the value of [tex]\( x \)[/tex]. Therefore, when [tex]\( x = 0 \)[/tex],

[tex]\[ y = -1 \][/tex]

Putting all the results together, when [tex]\( x = 0 \)[/tex]:

- The value of the first function [tex]\( y = -5 \)[/tex] is [tex]\(-5\)[/tex],
- The value of the second function [tex]\( y = -2 \)[/tex] is [tex]\(-2\)[/tex],
- The value of the third function [tex]\( y = -1 \)[/tex] is [tex]\(-1\)[/tex].

Therefore, the values of the functions when [tex]\( x = 0 \)[/tex] are:

[tex]\[ (-5, -2, -1) \][/tex]