The graphs of f(x) = x2 - 4 and g(x) = -x +2 are sketched below. A andB are the x - intercepts of f.C and D are the y- intercepts of f and g respectively. K is a point on g such that BK x- axis. f and g intersect at A and E. 1.1. Write down the coordinates of C (1) 1.2. Write down the coordinates of D (1) 1.3. Determine the length of CD (1) 1.4. Calculate the coordinates of B (3) 1.5. Determine the coordinates of E, a point of intersection of f and g (4) 1.6. For which values of x will (2) 1.6.1. f(x) < g(x) (2) 1.6.2. (x).g(x)20 (2) 1.7. Calculate the length of AK 118]
The graphs of f(x) = x2 - 4 and g(x) = -x +2 are sketched below. A andB are the x - intercepts of f.C and D are the y- intercepts of f and g respectively. K is a point on g such that BK x- axis. f and g intersect at A and E. 1.1. Write down the coordinates of C (1) 1.2. Write down the coordinates of D (1) 1.3. Determine the length of CD (1) 1.4. Calculate the coordinates of B (3) 1.5. Determine the coordinates of E, a point of intersection of f and g (4) 1.6. For which values of x will (2) 1.6.1. f(x) < g(x) (2) 1.6.2. (x).g(x)20 (2) 1.7. Calculate the length of AK 118]
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Question
![Question 1
The graphs of f(x) = x? - 4 and g(x) = -x + 2 are sketched below. A andB are the x
- intercepts of f.C and D are the y - intercepts of f and g respectively. K is a point on g
such that BK / x - axis. f and g intersect at A and E.
1.1
Write down the coordinates of C
(1)
1.2.
Write down the coordinates of D
(1)
1.3.
Determine the length of CD
(1)
Calculate the coordinates of B
(3)
1.4
(4)
1.5.
Determine the coordinates of E, a point of intersection off and g
1.6
For which values of x will
(2)
1.6.1. f(x) < g(x)
(2)
1.6.2. f(x).g(x) 20
(2)
1.7.
Calculate the length of AK
[18]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f26a356-55c2-4013-bda2-eabff10fd82c%2F5a0ba91d-fbea-4cce-8c00-3a867a1f8f0c%2F5bvjh0k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 1
The graphs of f(x) = x? - 4 and g(x) = -x + 2 are sketched below. A andB are the x
- intercepts of f.C and D are the y - intercepts of f and g respectively. K is a point on g
such that BK / x - axis. f and g intersect at A and E.
1.1
Write down the coordinates of C
(1)
1.2.
Write down the coordinates of D
(1)
1.3.
Determine the length of CD
(1)
Calculate the coordinates of B
(3)
1.4
(4)
1.5.
Determine the coordinates of E, a point of intersection off and g
1.6
For which values of x will
(2)
1.6.1. f(x) < g(x)
(2)
1.6.2. f(x).g(x) 20
(2)
1.7.
Calculate the length of AK
[18]
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