Question

Activity 3. TRUE or FALSE. 1. The domain of the function \( f(x)=\frac{2 x+7}{x} \) is all real number except \( -\frac{?}{2} \) 2. The range of the function is the set of all values that \( f(x) \) will take. 3. In a rational function, the denominator must not be a zero function 4. The range of the function \( f(x)=\frac{5 x^{2}-6}{3 x^{3}} \) is all real number except \( \frac{5}{5} \). 5. The domain of the function is the set of all the values that the varia \( x \) can take or the set of values for which the function is defined.

          Activity 3. TRUE or FALSE.
1. The domain of the function \( f(x)=\frac{2 x+7}{x} \) is all real number except \( -\frac{?}{2} \)
2. The range of the function is the set of all values that \( f(x) \) will take.
3. In a rational function, the denominator must not be a zero function
4. The range of the function \( f(x)=\frac{5 x^{2}-6}{3 x^{3}} \) is all real number except \( \frac{5}{5} \).
5. The domain of the function is the set of all the values that the varia \( x \) can take or the set of values for which the function is defined.

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Activity 3. TRUE or FALSE.
1. The domain of the function f(x)=(2 x+7)/(x) is all real number except -(?)/(2)
2. The range of the function is the set of all values that f(x) will take.
3. In a rational function, the denominator must not be a zero function
4. The range of the function f(x)=(5 x^2-6)/(3 x^3) is all real number except (5)/(5).
5. The domain of the function is the set of all the values that the varia x can take or the set of values for which the function is defined.

Added by Lisa B.

University Calculus: Early Transcendentals

Joel Hass, Christopher Heil, Przemyslaw… 4th Edition

Chapter 1

Instant Answer

Solved by Expert Dr Harish Viswanathan

Step 1

The function \( f(x) = \frac{2x+7}{x} \) is undefined when the denominator is zero. Set \( x = 0 \) to find the value that makes the denominator zero. Therefore, the domain is all real numbers except \( 0 \). The statement is FALSE. Show more…

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Activity 3. TRUE or FALSE. 1. The domain of the function \( f(x)=\frac{2 x+7}{x} \) is all real number except \( -\frac{?}{2} \) 2. The range of the function is the set of all values that \( f(x) \) will take. 3. In a rational function, the denominator must not be a zero function 4. The range of the function \( f(x)=\frac{5 x^{2}-6}{3 x^{3}} \) is all real number except \( \frac{5}{5} \). 5. The domain of the function is the set of all the values that the varia \( x \) can take or the set of values for which the function is defined.

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