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Chapter 2: Q. 13 (page 68)

True or False If no domain is specified for a function f, then the domain of fis taken to be the set of real numbers.

Short Answer

Expert verified

The given statement is true.

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 "If no domain is specified for a function f, then the domain of fis taken to be the set of real numbers. "

02

The domain of a function 

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes

03

Step 3. If a function f is defined by an equation and no domain is specified, then the domain will be taken to be the largest set of real numbers for which the equation defines a real number.

Hence, the given statement is true.

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Most popular questions from this chapter

A rectangle is inscribed in a circle of radius of 2. See the figure. Let P=x,ybe the point in quadrant I that is a vertex of the rectangle and is on the circle.

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