Asked by t
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+_
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+_
Answers
There are no human answers yet.
Answered by
GPT-4o mini
The table shows a linear relationship between \( x \) and \( y \).
From the table, we can see that as \( x \) increases by 1, \( y \) increases by 1. This indicates a slope of 1.
To find the equation in function notation \( f(x) \), we can start with the general linear equation form:
\[ f(x) = mx + b \]
Where \( m \) is the slope and \( b \) is the y-intercept.
From the points given, we can identify the slope \( m = 1 \).
Next, to find the y-intercept \( b \), we can use one of the points from the table. When \( x = 0 \), \( y = -10 \), this gives us the y-intercept directly:
So, \( b = -10 \).
Thus, the function notation becomes:
\[ f(x) = 1x - 10 \]
Which can be simplified to:
\[ f(x) = x - 10 \]
So the answer is:
**f(x) = x - 10**
From the table, we can see that as \( x \) increases by 1, \( y \) increases by 1. This indicates a slope of 1.
To find the equation in function notation \( f(x) \), we can start with the general linear equation form:
\[ f(x) = mx + b \]
Where \( m \) is the slope and \( b \) is the y-intercept.
From the points given, we can identify the slope \( m = 1 \).
Next, to find the y-intercept \( b \), we can use one of the points from the table. When \( x = 0 \), \( y = -10 \), this gives us the y-intercept directly:
So, \( b = -10 \).
Thus, the function notation becomes:
\[ f(x) = 1x - 10 \]
Which can be simplified to:
\[ f(x) = x - 10 \]
So the answer is:
**f(x) = x - 10**
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.