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Precalculus: Domain, Zeros

Total questions: 10

Worksheet time: 7mins

Name
Class
Date
1.

Which is the domain of  f(x)=x−52f\left(x\right)=\frac{x-5}{2}  

a)

 x>5x>5  

b)

 All Real NumbersAll\ Real\ Numbers  

c)

 x≠5x\ne5  

d)

 x≥5x\ge5  

2.

Select all that are domain restrictions of   f(x)=x−5x3−4xf\left(x\right)=\frac{x-5}{x^3-4x}  

a)

 x≠5x\ne5  

b)

 x≠2x\ne2  

c)

 x≠0x\ne0  

d)

 x≠4x\ne4  

e)

 x≠−2x\ne-2  

3.

What is the domain of  f(x)=x−3f\left(x\right)=\sqrt{x-3}  

a)

 x>3x>3  

b)

 x<3x<3  

c)

 x≥3x\ge3  

d)

 x≤3x\le3  

4.

What is the domain of  f(x)=2xf\left(x\right)=\frac{2}{\sqrt{x}}  

a)

 x≠−2x\ne-2  

b)

 x≠0x\ne0  

c)

 x≥0x\ge0  

d)

 x>0x>0  

5.

What is the domain of  f(x)=8−xf\left(x\right)=\sqrt{8-x}  

a)

 x≥8x\ge8  

b)

 x≥−8x\ge-8  

c)

 x≤8x\le8  

d)

 x≤−8x\le-8  

6.

Choose all real zeros of  f(x)=13x3−xf\left(x\right)=\frac{1}{3}x^3-x  

a)

 00  

b)

 33  

c)

 3\sqrt{3}  

d)

 −3-3  

e)

 −3-\sqrt{3}  

7.

Choose all real zeros of  f(x)=2x−4f\left(x\right)=\frac{2}{x-4}  

a)

-2

b)

4

c)

0

d)

No Zeros

8.

Choose all zeros of  f(x)=x3−3x2−25x+75f\left(x\right)=x^3-3x^2-25x+75  

a)

0

b)

3

c)

-3

d)

5

e)

-5

9.

Choose all real zeros of  f(x)=(x+3)(x−4)(x−5)(x+6)f\left(x\right)=\frac{\left(x+3\right)\left(x-4\right)}{\left(x-5\right)\left(x+6\right)}  

a)

-6

b)

-3

c)

0

d)

4

e)

5

10.

Choose all real zeros of  f(x)=x2+95f\left(x\right)=\frac{x^2+9}{5}  

a)

3

b)

-3

c)

5

d)

-5

e)

No Zeros