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Chapter 8: Q3. (page 402)

Represent the relation as a graph and as a mapping diagram. Then tell whether the relation is a function. Explain your reasoning.

0,3,1,2,2,-1,4,4,5,4

Short Answer

Expert verified

The given relationis a function.

Step by step solution

01

Step 1. Given Information.

A relation: 0,3,1,2,2,-1,4,4,5,4

02

Step 2. Calculation.

Upon graphing our given relation, we will get our required graph as shown below:

The mapping diagram of our given relation would look like:

We know that a relationship will be also a function, when each input in the domain has exactly one specific corresponding output.

Upon looking at our given ordered pairs, we can see that each x-value corresponds to a specific y-value except 6. We can see that 6 corresponds to 5 and 6.

03

Step 3. Conclusion.

The given relation is a function.

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Most popular questions from this chapter

The brown-headed cowbird does not raise its own offspring. It lays eggs in the nests of other bird species, which then hatch the eggs and raise the young. A scientist investigated whether the growth of a young cowbird is affected by the species of bird that raises it. The scientist鈥檚 results for two bird species are shown below.

  1. For each table, draw a graph for the relation given by the ordered pairs age,mass. Draw both graphs in the same coordinate plane, and use a different color for each graph.
  2. Compare the graphs from part (a). How is a cowbird鈥檚 growth when raised by a red-eyed vireo like its growth when raised by a blue-gray gnatcatcher? How is its growth different?

Write an inequality represented by the graph.

Identify the domain and range of the relation.

-1,2,-3,-1,6,0,-1,4

Tell whether the given value of the variable is a solution of the equation.

-144u=12;u=-12

Spacecraft in 1997, the Pathfinder spacecraft landed on Mars. It contained a robotic vehicle named Sojourner that could roam up to 500 meters from the lander. The distance d (in meters) that Sojourner could travel in t hours is given byd=24t. How long would it take Sojourner to reach its maximum distance from the lander?

1. Copy and complete the table using the given equation


0

5

10

15

20

25

30


?

?

?

?

?

?

?

2. Use your completed table to graph d=24t.

3. Find the point on the graph whose d-coordinate is 500, and estimate the t-coordinate of this point. How much time would it take Sojourner to reach its maximum distance from the lander?
See all solutions

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