Question

Using function notation, what is the equation described in the table?(1 point)
f(x)=
x+
Use the table to answer the question.

x y
0 −10

1 −9

2 −8

3 −7

Answer 1

To determine the function \( f(x) \) based on the table provided, we can analyze the relationship between the values of \( x \) and \( y \).

The table provides the following values:

\[
\begin{array}{|c|c|}
\hline
x & y \\
\hline
0 & -10 \\
1 & -9 \\
2 & -8 \\
3 & -7 \\
\hline
\end{array}
\]

From the table, we can observe that as \( x \) increases by 1, \( y \) increases by 1 as well. This implies a linear relationship.

To find the function in the form \( f(x) = x + b \), we can determine the value of \( b \) by using one of the points from the table. Let's use the first point \((0, -10)\):

When \( x = 0 \):
\[
f(0) = 0 + b = -10
\]

Solving for \( b \):
\[
b = -10
\]

Thus, the function based on the relationship observed in the table can be expressed as:

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

Therefore, the answer is:
\[
f(x) = x - 10
\]