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Chapter 2: Q. 10 (page 68)

True or False Every relation is a function.

Short Answer

Expert verified

The given statement is false.

Step by step solution

01

Step 1. Given information 

In the given question we have to explain the given statement is true or false.

The statement is "Every relation is a function."

02

Step 2. Definition of Relation and Function 

Relation-The relation is defined as the collection of ordered pairs, which contains an object from one set to the other set.

Functions-The relation that defines the set of inputs to the set of outputs is called the functions. In function, each input in the set X has exactly one output in the set Y.

03

Step 3. All functions are relations but all relations are not functions.

Hence, the given statement is false.

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Most popular questions from this chapter

True or False

The graph of y=-f(x)is the reflection about the x-axis of the graph of y=f(x).

In March 2011, Peoples Energy had the following rate schedule for natural gas usage in single- family residences:

Monthly service charge- \(18.95

Per therm service charge

1st50therms- \)0.33372/therm

Over 50therms- \(0.12360/therm

Gas charge- \)0.5038/therm

(a) What is the charge for using 50therms in a month?

(b) What is the charge for using 500therms in a month?

(c) Develop a model that relates the monthly charge Cfor xtherms of gas.

(d) Graph the function found in part (c)

Determine whether each relation represents a function. For each function, state the domain and range.

4,-1,2,1,4,2

In Problems 33鈥� 44, determine algebraically whether each function is even, odd, or neither.

g(x)=x2+3x2-1

Exploration Graph y=x3. Then on the same screen graph y=(x-1)3+2. Could you have predicted the result?
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