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Chapter 10: Q7. (page 656)

State whether each sentence is true or false. If false, replace the underlined word, phrase, expression, or number to make a true sentence.

The domain of the functiony=xisx|x鈮�0炉.

Short Answer

Expert verified

The given sentence is False.

The true sentence isThe domain of the functiony=xisx|x鈮�0.

Step by step solution

01

Step 1. Determine whether the given sentence is true or false.

The domain of a function is the set of values of independent variable for which the function is defined.

Therefore, the domain of the functiony=x is the set of values of x for which the function is defined.

02

Step 2. Explanation

As, for a square root to be a real number, the radicand cannot be negative. Therefore,y=x for to be defined, x鈮�0.

Therefore, the domain of the functiony=x is x|x鈮�0.

Therefore, the given sentence is false.

03

Step 3. Write the true sentence.

Therefore, the true sentence is the domain of the functiony=x is x|x鈮�0.

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Most popular questions from this chapter

Find the coordinates of the midpoint of the segment with the given endpoints.

(鈭�3,4),鈥�(鈭�2,鈭�3)

Solve the equation.

2x2+7x鈭�5=鈭�1

The functions=Acan be used to find the length of a side of a square given its area. Use this function to determine the length of a side of a square with an area of 90 square inches. Round to the nearest tenth if necessary.

Which of the following sets of measures could not be the sides of a right triangle?

A(12,16,24) C (24,45,51)

B(10,24,26) D(18,24,30)

Graph the function, and compare to the parent graph. State the domain and range.

y=鈭�2x
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