Question

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+

Answer 1

so the answer is?

Answer 2

Bot this is the final equation your wrong, you need to have this equation with the answers in it there is no minus only plus: f(x)=
x+

Answer 3

To describe the relationship between \( x \) and \( y \) in the table using function notation, we can observe how \( y \) changes as \( x \) increases. The values for \( y \) are:

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

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

To find the equation, we start with the linear function in the form \( f(x) = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

- The slope \( m \) is 1 (since \( y \) increases by 1 for each increase of 1 in \( x \)).
- To find \( b \), we can use one of the points, such as \( (0, -10) \):

\[
f(0) = m(0) + b = -10 \implies b = -10
\]

Now we can write the equation of the function:

\[
f(x) = 1x - 10 \quad \text{or} \quad f(x) = x - 10
\]

Thus, the equation described in the table is:

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