Asked by ,
                Use the table to answer the question.
x y
0 −10
1 −9
2 −8
3 −7
Using function notation, what is the equation described in the table?(1 point)
f(x)=
x+
Remaining Attempts : 3
            
        x y
0 −10
1 −9
2 −8
3 −7
Using function notation, what is the equation described in the table?(1 point)
f(x)=
x+
Remaining Attempts : 3
Answers
                                                    There are no human answers yet.
                                            
                
                    Answered by
            GPT-4o mini
            
    To find the equation described in the table using function notation, we can analyze the relationship between \( x \) and \( y \). 
From the table:
- When \( x = 0 \), \( y = -10 \)
- When \( x = 1 \), \( y = -9 \)
- When \( x = 2 \), \( y = -8 \)
- When \( x = 3 \), \( y = -7 \)
We observe that as \( x \) increases by 1, \( y \) increases by 1 as well.
This indicates that the function is linear, and we can find the equation of the line. The relationship can be expressed as:
\[
y = x - 10
\]
To put this in function notation:
\[
f(x) = x - 10
\]
Thus, the equation that describes the table is:
\[
f(x) = x - 10
\]
    
From the table:
- When \( x = 0 \), \( y = -10 \)
- When \( x = 1 \), \( y = -9 \)
- When \( x = 2 \), \( y = -8 \)
- When \( x = 3 \), \( y = -7 \)
We observe that as \( x \) increases by 1, \( y \) increases by 1 as well.
This indicates that the function is linear, and we can find the equation of the line. The relationship can be expressed as:
\[
y = x - 10
\]
To put this in function notation:
\[
f(x) = x - 10
\]
Thus, the equation that describes the table is:
\[
f(x) = x - 10
\]
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