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Chapter 8: Q5. (page 403)

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

1,2,1,5,2,4,3,3,4,1

Short Answer

Expert verified

The given relation isnot a function.

Step by step solution

01

Step 1. Given Information.

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

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 1. We can see that 1 corresponds to 2 and 5.

03

Step 3. Conclusion.

The given relation is not a function.

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Most popular questions from this chapter

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

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

draw a mapping diagram that represents a relation with domain -1,0,2 and range 1, 4. Is only one answer possible? Explain.

A skydiver uses an altimeter to track altitude so that he or she knows when to open the parachute. The altimeter determines altitude by measuring changes in atmospheric pressure. The graph below shows how pressure varies with altitude as a skydiver falls from 12,000 feet to ground level. (The elevation of the ground is assumed to be 0 feet with respect to sea level.)

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Write the equation in function form. Then graph the equation.

3x+4y=0

Tell whether the ordered pair is a solution of 3x+2y=-8.

0,4
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