How do you write ordered pairs as a function: (-19,-12), (-12,-5), (-5,2), (2,9), and (9,16)?

Question

How do you write ordered pairs as a function: (-19,-12), (-12,-5), (-5,2), (2,9), and (9,16)?

1 Answer

Impact of this question

4049 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-05-06T21:18:31

$f(x) = x+7$

Explanation:

Notice that both the $x$ coordinates and $y$ coordinates are in arithmetic sequence:

$bb(x: ) -19, -12, -5, 2, 9$ with common difference $7$
$bb(y: ) -12, -5, 2, 9, 16$ with common difference $7$

Since $y$ is increasing at the same rate as $x$ , the slope is $1$ and we can see that the offset between the values in the two sequences is also $7$ .

Hence, in slope intercept form we have:

$y = x+7$

or in function notation:

$f(x) = x+7$

graph{(y-x-7)((x+19)^2+(y+12)^2-0.2)((x+12)^2+(y+5)^2-0.2)((x+5)^2+(y-2)^2-0.2)((x-2)^2+(y-9)^2-0.2)((x-9)^2+(y-16)^2-0.2) = 0 [-39.67, 40.33, -17.12, 22.88]}

Science

Math

Humanities

... and beyond

How do you write ordered pairs as a function: (-19,-12), (-12,-5), (-5,2), (2,9), and (9,16)?

1 Answer

Explanation:

Related questions

Impact of this question