Quiz about Find the Domain of Rational Functions

Question 1

What (if any) holes exist?

Accepted Answer

x=2

Answer

x=2 and x=3

Answer

x=-3

Answer

x=3

Question 2

What is the domain and range?

Accepted Answer

$$D:\ \left(-\infty,2\right)\cup\left(2,\infty\right)$$

$$R:\ \left(-\infty,1\right)\cup\left(1,\infty\right)$$

Answer

$$D:\ \left(-\infty,1\right)\cup\left(1,\infty\right)$$
$$R:\ \left(-\infty,2\right)\cup\left(2,\infty\right)$$

Answer

$$null$$
$$R:\ \left(-\infty,\frac{1}{2}\right)\cup\left(\frac{1}{2},\infty\right)$$

Answer

$$D:\ \left(-\infty,-2\right)\cup\left(-2,\infty\right)$$
$$R:\ \left(-\infty,-1\right)\cup\left(-1,\infty\right)$$

Question 3

What is the domain and range of the parent rational function?

Accepted Answer

D: $$\left(-\infty,\infty ight),\ x e0$$

R: $$\left(-\infty,\infty ight),\ y e0$$

Answer

D: $$\left(-\infty,\infty\right)$$

R: $$\left(-\infty,\infty\right)$$

Answer

D: $$\left(-\infty,0\right)$$

R: $$\left(-\infty,0\right)$$

Question 4

What is the domain and range of this rational function?

Accepted Answer

D: $$\left(-\infty,\infty ight),\ x e4$$

R: $$\left(-\infty,\infty ight),\ y e0$$

Answer

D: $$\left(-\infty,\infty\right)$$

R: $$\left(-\infty,\infty\right)$$

Answer

D: $$\left(-\infty,4\right)$$

R: $$\left(-\infty,\infty\right)$$

Answer

D: $$\left(-\infty,\infty\right)$$

R: $$\left(-\infty,0\right)$$

Question 5

Find the domain of each function.

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 6

Find the domain of each function.

Accepted Answer

$$\left(-\infty,-9\right)∪\left(-9,\ 9\right)\cup\left(9,\infty\right)$$

Answer

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

Answer

$$\left(-\infty,-9\right)\cup\left(9,\infty\right)$$

Answer

$$\left(-\infty,-81\right)∪\left(81,\infty\right)$$

Question 7

Find the domain of each function.

Accepted Answer

$$\left(-\infty,0\right)∪\left(0,\ 6\right)\cup\left(6,\infty\right)$$

Answer

$$\left(-\infty,-4\right)∪\left(-4,\ 6\right)\cup\left(6,\infty\right)$$

Answer

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

Answer

$$\left(-\infty,6\right)∪\left(6,\infty\right)$$

Question 8

Select all x-values are NOT in the domain of $$f\left(x\right)\ =\ \frac{x+2}{x\left(x^2+4\right)\left(x^2-25\right)}$$

Accepted Answer

$$x=0$$

Accepted Answer

$$x=-5$$

Accepted Answer

$$x=5$$

Answer

$$x=2$$

Answer

$$x=-2$$

Question 9

Find the domain of each function.

Accepted Answer

$$\left[7,\infty\right)$$

Answer

$$\left[7,\infty\right]$$

Answer

$$\left[3,\infty\right)$$

Answer

$$\left[21,\infty\right)$$

Question 10

Find the domain of each function.

Accepted Answer

$$\left[-5,\infty\right)$$

Answer

$$\left[-5,\infty\right]$$

Answer

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

Answer

$$\left[5,\infty\right)$$

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