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Chapter 3: Q44. (page 204)

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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Most popular questions from this chapter

Solve each equation.

0=21+3x

Find the slope of the line that passes through each pair of points.

6,−3,6,4

The number of people who watch a singing competition can be given by p=0.15v, where prepresents the number of people in millions who saw the show and vis the number of potential viewers in millions.

a. Make a table of values for the points v,p.

b. Graph the equation.

c. Use the graph to estimate the number of people who saw the show if there are 14 million potential viewers.

d. Explain why it would not make sense forvto be a negative number.

Graph each equation by making a table.

y=−2x

Find the slope of the line that passes through each pair of points.

1,5,3,8
See all solutions

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