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Domain Restriction Homework

Total questions: 10

Worksheet time: 15mins

Name
Class
Date
1.

Is the inverse of this quadratic a function?

a)

YES

b)

NO

2.

What is the Domain of this Quadratic Function?

a)

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

b)

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

c)

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

d)

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

3.

What would be a proper domain restriction so that the inverse is a function? (Hint: There is more than one correct answer)

a)

 [9,)\left[-9,\infty\right)  

b)

 [2,)\left[-2,\infty\right)  

c)

 (,2]\left(-\infty,-2\right]  

d)

 (,9]\left(-\infty,-9\right]  

4.

What is the range of the following Quadratic Function?

a)

 [9,)\left[-9,\infty\right)  

b)

 [2,)\left[-2,\infty\right)  

c)

 (,2]\left(-\infty,-2\right]  

d)

 (,9]\left(-\infty,-9\right]  

5.

What would the Domain of the INVERSE be with a Domain Restriction of (,3]\left(-\infty,-3\right]   ?

a)

 (,3]\left(-\infty,-3\right]  

b)

 [3,)\left[-3,\infty\right)  

c)

 (,2]\left(-\infty,-2\right]  

d)

 [2,)\left[-2,\infty\right)  

6.

Which of the following Domain Restriction would keep the inverse NOT A FUNCTION?

a)

[1,)\left[-1,\infty\right)

b)

[1,)\left[1,\infty\right)

c)

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

d)

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

7.

On what interval is the function increasing?

a)

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

b)

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

c)

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

d)

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

8.

What is the shape of the following graph?

a)

Quadratic

b)

Parallel

c)

Triangle

d)

Parabola

9.

What would be a proper domain restriction so that the inverse is a function? (Hint: There is more than one correct answer)

a)

[4,)\left[4,\infty\right)

b)

[2,)\left[-2,\infty\right)

c)

(,2]\left(-\infty,-2\right]

d)

(,4]\left(-\infty,4\right]

10.

What would be a proper domain restriction so that the inverse is a function? (Hint: There is more than one correct answer)

a)

[0,)\left[0,\infty\right)

b)

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

c)

(,5]\left(-\infty,5\right]

d)

(,0]\left(-\infty,0\right]