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

1 answer

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:

\[ f(x) = x - 10 \]