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+
Remaining Attempts : 3
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page 14 of 15

Answer 1

it says its wrong

Answer 2

This was a month ago, but for connexus, the answer is f(x)=1x+(-10) (I checked it)

Answer 3

To find the equation described in the given table, we observe the relationship between \( x \) and \( y \).

The values in the table are:
- When \( x = 0 \), \( y = -10 \)
- When \( x = 1 \), \( y = -9 \)
- When \( x = 2 \), \( y = -8 \)
- When \( x = 3 \), \( y = -7 \)

We can see that as \( x \) increases by 1, \( y \) increases by 1 as well. This indicates that the function has a slope of 1.

Let's establish the function in the form \( f(x) = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

1. **Slope (m)**: From the observations, \( m = 1 \).
2. **Y-intercept (b)**: When \( x = 0 \), \( y = -10\), therefore \( b = -10 \).

Combining these, we get the function in the form:

\[
f(x) = 1x - 10
\]

We can simplify that to:

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

So the equation described in the table is:

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