Calc. Domain of Functions (Rational, Radical, Polynomials)

Calc. Domain of Functions (Rational, Radical, Polynomials)

10th Grade - University

19 Qs

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Calc. Domain of Functions (Rational, Radical, Polynomials)

Calc. Domain of Functions (Rational, Radical, Polynomials)

Assessment

Quiz

Mathematics

10th Grade - University

Practice Problem

Medium

Created by

Adeyemi Aderinto

Used 131+ times

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19 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the domain of each function.

 f(x)=3xx+3f\left(x\right)=\frac{3x}{x+3}  

 (, 3)(3,)\left(-\infty,\ 3\right)∪\left(3,\infty\right)  

 (,0)(0,)\left(-\infty,0\right)∪\left(0,\infty\right)  

 (, 3)(3,)\left(-\infty,\ -3\right)∪\left(-3,\infty\right)  

 (, 3)(0,)\left(-\infty,\ -3\right)∪\left(0,\infty\right)  

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the domain of each function.


 f(x)=8x16x64f\left(x\right)=\frac{8x-16}{x-64}  

 (,64)(64, )\left(-\infty,64\right)∪\left(64,\ \infty\right)  

 (,8)(8, )\left(-\infty,-8\right)∪\left(8,\ \infty\right)  

 (, 64)(64, )\left(-\infty,\ -64\right)∪\left(64,\ \infty\right)  

 (,8)(8,8) (8, )\left(-\infty,-8\right)∪\left(-8,8\right)\ \cup\left(8,\ \infty\right)  

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the domain of

 f(x) = x3x+4f\left(x\right)\ =\ \frac{x-3}{x+4} 

 (, )\left(-\infty,\ \infty\right)  

 (,3)(3,)\left(-\infty,3\right)\cup\left(3,\infty\right)  

 (,4)(4,)\left(-\infty,-4\right)\cup\left(-4,\infty\right)  

 (,4)(4,3)(3,)\left(-\infty,-4\right)\cup\left(-4,3\right)\cup\left(3,\infty\right)  

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the domain of the function.

 f(x)=x+3x1f\left(x\right)=\frac{x+3}{x-1}  

 (, 3)(3, )\left(-\infty,\ -3\right)∪\left(-3,\ \infty\right)  

 (,1]   [1,]\left(-\infty,1\right]\ ∪\ \ \left[1,\infty\right]  

 (,1)(1,)\left(-\infty,1\right)∪\left(1,\infty\right)  

 (, 1)(1,)\left(-\infty,\ -1\right)∪\left(-1,\infty\right)  

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the domain of the function.

 f(x)=x+35xf\left(x\right)=\frac{x+3}{5x}  

 (, 3)(3, )\left(-\infty,\ -3\right)∪\left(-3,\ \infty\right)  

 (,5)   (5,)\left(-\infty,5\right)\ ∪\ \ \left(5,\infty\right)  

 (,0)(0,)\left(-\infty,0\right)∪\left(0,\infty\right)  

 (, 1)(1,)\left(-\infty,\ -1\right)∪\left(-1,\infty\right)  

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the domain of each function.


 f(x)=xx2121f\left(x\right)=\frac{x}{x^2-121}  

 (,11)(11, 11)(11,)\left(-\infty,11\right)∪\left(11,\ 11\right)\cup\left(11,\infty\right)  

 (,11)(11, 11)(11,)\left(-\infty,-11\right)∪\left(-11,\ 11\right)\cup\left(11,\infty\right)  

 (,11)(11,)\left(-\infty,-11\right)\cup\left(11,\infty\right)  

 (,121)(121,)\left(-\infty,121\right)∪\left(121,\infty\right)  

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the domain of each function.


 f(x)=x+5(x2)(x+4)f\left(x\right)=\frac{x+5}{\left(x-2\right)\left(x+4\right)}  

 (,2)(4, 2)(4,)\left(-\infty,2\right)∪\left(-4,\ 2\right)\cup\left(-4,\infty\right)  

 (,4)(4, 2)(2,)\left(-\infty,-4\right)∪\left(-4,\ 2\right)\cup\left(2,\infty\right)  

 (,2)(2, 4)(4,)\left(-\infty,-2\right)∪\left(-2,\ 4\right)\cup\left(4,\infty\right)  

 (,5)(5,)\left(-\infty,-5\right)∪\left(-5,\infty\right)  

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