Use the table to answer the question.

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 + ___

Answer 1

To determine the equation described in the table using function notation, we need to observe the values of \( y \) as \( x \) changes:

The table provided is as follows:

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

From the table, we can see that as \( x \) increases by 1, \( y \) increases by 1 as well. This indicates that the relationship between \( x \) and \( y \) is linear with a slope of 1.

To find the equation in the form \( f(x) = mx + b \), we start with the slope \( m \): \[ m = 1 \]

Next, we need to find \( b \), which is the y-intercept. By looking at the table, when \( x = 0 \), \( y = -10 \). Therefore, \( b = -10 \).

Putting this information together, the equation can be expressed as: \[ f(x) = 1x - 10 \]

Thus, in function notation, the equation described in the table is: \[ f(x) = 1x - 10 \]

So, filling in the blanks: \( f (x) = 1x + (-10) \).