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Algebra Quiz needed. Show all work. I need work done as if you taking the test yourself so I can upload as is. All steps need to be shown.
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Math
Quiz 2
Name______________
SHOW WORK FOR ALL PROBLEMS
1. Consider the two points: 𝐴: (2, 3) 𝑎𝑛𝑑 𝐵: (−1, −4)
a. Plot the two points on the x-y coordinate system
b. Find the distance between A and B
c. Find the midpoint between A and B
2. Graph the relation: {(1,0), (1,1), (0,1), (−1,1), (0, −1), (−1,0)}
3. a. Is the point (-1, 1) on the graph of (𝑥 − 1)2 + (𝑦 − 3)2 = 0 ?
Show work.
b. Find the x and y intercepts for the graph of (𝑥 − 1)2 + (𝑦 − 3)2 = 0
Math
Quiz 2
4. Justify each answer you give:
a. Is the graph of a line a function?
b. Is the graph of a circle a function?
5. Given the following functions
a. 𝑓(𝑥) = 𝑥 + 3
b. 𝑔(𝑥) = √𝑥 − 1
Find
a. (f+g)(1) and (f-g)(1)
b. Domain of f(x) and g(x)
c. (f+g(1))(x)
Name______________
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Explanation & Answer
Because you did not answer, I had to guess what does it mean. Please review my work.
Math
Quiz 2
Name______________
SHOW WORK FOR ALL PROBLEMS
1. Consider the two points: 𝐴: (2, 3) 𝑎𝑛𝑑 𝐵: (−1, −4)
a. Plot the two points on the x-y coordinate system
b. Find the distance between A and B
2
2
|𝐴𝐵| = √(2 − (−1)) + (3 − (−4)) = √9 + 49 = √𝟓𝟖.
c...
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