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Chapter 8: Q18. (page 404)

Tell whether the relation represented by the graph is a function.

Short Answer

Expert verified

The relation represented by the graph isnot a function.

Step by step solution

01

Step 1. Given Information.

A graph of a relation:

02

Step 2. Calculation.

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

That is for a relation to be a function, one x-value cannot have two y-values, while two x-values can have same y-value.

Upon looking at our given graph, we can see that for x=-1, there are two corresponding y-values -1 and 2.

03

Step 3. Conclusion.

Since there are two outputs for one input, therefore, the given relation is not a function.

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Most popular questions from this chapter

Identify the domain and range of the relation.

2,5,-5,2,1,5,2,-3,7,5

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

-17-a=-23;a=-6

Graph the equation.

y=12x+1.

Suppose a relation is represented as a set of ordered pairs and as a mapping diagram. Which representation more clearly shows whether or not the relation is a function? Explain.

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


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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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