Respuesta :

Answer:

Option B is correct

-2

Step-by-step explanation:

As per the statement:

The table represents a function.

Here, x is an input value and f(x) is an output value of the function.

Input values are:

x ∈ {-6, 7, 4, 3, -5}

Output values are:

f(x) ∈ {8, 3, -5, -2, 12}

We have to find which value is an output of the function.

From the given options:

⇒only -2 is the value which is an output of the function.

Therefore, -2 is an output of the function

[tex]\boxed{ - 2}[/tex] is the only value that is an output of the function.

Further explanation:

There are two types of values input and output.

The value we substitute in place of variable is the input value and the values obtain by substituting the input value is known as output value.

Given:

The values of [tex]x[/tex] are -6, 7, 4, 3 and-5.

The values of the function [tex]f\left( x \right)[/tex] are [tex]8, 3, -5, -2[/tex] and [tex]12[/tex].

Calculation:

The values of [tex]x[/tex] are the input values of the function and the values of the function [tex]f\left( x \right)[/tex] are the output values.

Here, [tex]-6[/tex] is the value of [tex]x[/tex] and it is an input value of the function.

Therefore, [tex]-6[/tex] is not an output value of the function.

Here, [tex]-2[/tex]  is the value of [tex]x[/tex] and it is an output value of the function.

Therefore, [tex]-2[/tex] is an output value of the function.

Here, [tex]4[/tex] is the value of [tex]x[/tex] and it is an input value of the function.

Therefore, [tex]4[/tex] is not an output value of the function.

Here, [tex]7[/tex] is the value of [tex]x[/tex] and it is an input value of the function.

Therefore, [tex]7[/tex] is not an output value of the function.

Hence, [tex]\boxed{ - 2}[/tex] is the only value that is an output of the function.

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function https://brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: functions

Keywords: function, input, output, input value, output value, variable, equation, number.