Use the table to answer the question.

Question

x y
0 −10
−
10

1 −9
−
9

2 −8
−
8

3 −7
−
7
Using function notation, what is the equation described in the table?(1 point)
f(x)=
f
(
x
)
=
x+
x
+

Answer 1

The table displays pairs of \(x\) and \(y\) values. From the table, it's evident that as \(x\) increases by 1, \(y\) also increases by 1. This indicates a linear relationship between \(x\) and \(y\).

Observing the pattern, we can see that \(y\) values are equal to \(x\) values plus a constant negative value. More precisely:

• When \(x=0\), \(y=-10\)
• When \(x=1\), \(y=-9\)
• When \(x=2\), \(y=-8\)
• When \(x=3\), \(y=-7\)

This shows that:

\[ y = x - 10 \]

So, in function notation, this can be expressed as:

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

Thus, the equation described in the table is:

\[ \boxed{f(x) = x - 10} \]