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91Ó°ÊÓ

Write an equation in function notation for this relation.

Short Answer

Expert verified

The equation in function notation for this relation isy=3x.

Step by step solution

01

Step 1. Find the points from the graph and make the table and find the difference between the values of x and y.

The observed points from the graph are −2,−6,−1,−3,0,0,1,3,2,6and 3,9.

Make the table by using the observed points from the graph.

x-2-1
0123
y-6
-3
0369

Calculate the difference between and.

From the above table it can be noticed that the difference between x is 1 and the difference between the y is 3.

This implies the value of constant of variation (k) is given by:

k=31=3

02

Step 2. Find the equation in function notation for this relation.

As, the value of k is 3. Therefore, the equation in function notation for this relation is given by:

y=kxy=3x

Therefore, the equation in function notation for this relation is y=3x.

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