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:

$$\boxed{{\displaystyle f(x)=x-10}}$$