# use the graphing tool ( in the online class ) to draw a circle exactly same as the one displayed in graphing calculator.

5

**Maths**

27th August, 2021

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1.). No.

2.). Yes

3.). No.

4.). Yes

**5.). Ans :**x2 +y2= 16

**6.). Ans : (**x+8)2 +(y-6)2 =100

**7.). Ans : **(x+6)2 +(y+8)2 =100

**8.). Ans : **(x-5)2 +(y+4)2 =6

**9.). Ans : **(x +2)2 +y2 =4

10.). Answer : in graphing the circle, the center is (0,0), radius, r =9

The domain is [-9,9]

The range is [-9,9]

**NOTE; kindly use the graphing calculator ( link provided below), by inserting equation of the circle you will be able to see the circle graph , then use the graphing tool ( in the online class ) to draw a circle exactly same as the one displayed in graphing calculator.**

*Graphing calculator (https://www.desmos.com/calculator*

**IMG_2293**

**11.)** Answer : in graphing the circle, the center is (2,3), radius, r =4

The domain is [-2,6]

The range is [-1,7]

**12.).**Answer : in graphing the circle, the center is (-6,1), radius, r =5

The domain is [-11,-1]

The range is [-4,6]

**13.).**Answer : in graphing the circle, the center is (-2,-3), radius, r =2

The domain is [-4,0]

The range is [-5,-1]

**14.).**Answer : in graphing the circle, the center is (0,1), radius, r =7

The domain is [-7,7]

The range is [-6,8]

**15).**Answer : in graphing the circle, the center is (-1,0), radius, r =6

The domain is [-7,5]

The range is [-6,6]

**IMG_2294**

16.). **(**x+2)2 +(y+1)2 =1

17.). **(**x-3)2 +(y-4)2 =1

18.). **(**x +2)2 + (y-2)2 = 9

19.).** (**x – 4)2 + y2 =25

20.).) Ans: 20**π**

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**15.). **a.) f-1** **(x) = (∛x) -3

b.). Graph **D**

c.). Domain of f-1 (x) = (-∞, ∞)

Range of f-1 (x) = (-∞, ∞)

16.).** **a.) f-1** **(x) = x2 +12 ;x≥12

b.). Graph **B**

c.). Domain of f-1 (x) = (0, ∞)

Range of f-1 (x) = (12, ∞)

17.). a.) f-1** **(x) = x3 -18×2 + 108x- 216

b.). Graph **B**

c.). Domain of f-1 (x) = (-∞, ∞)

Range of f-1 (x) = (-∞, ∞)

18.). Ans; f(g(7)) =**7**

19.). Ans; (gof)(-3)) =** -3**

**IMG_2291**

**20.).** Ans; f-1** **(g(9)) =**3**

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**12.). **

*a.) f-1*

**(x) =****√**(x+5)

b.). Graph **A**

c.). Domain of f-1 (x) = [-5, ∞)

Range of f-1 (x) = [0, ∞)

13.).** **a.) f-1** **(x) = 8-**√**(x) ;x≥0

b.). Graph **B**

c.). Domain of f-1 (x) = [0, ∞)

Range of f-1 (x) = **(-∞,8]**

14.). a.) f-1** **(x) = ∛(x+12)

b.). Graph **B**

c.). Domain of f-1 (x) = (-∞, ∞)

Range of f-1 (x) = (-∞, ∞)

b.). Graph **D**

c.). The domain of f(x) = (-∞, ∞) and the range of f (x) = (-∞, ∞)

The domain of f-1 (x) = (-∞, ∞) and the range of f-1 (x) = (-∞, ∞)

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