Given the equation y − 3 = one half (x + 6) in point-slope form, identify the equation of the same line in standard form. (1 poi
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Table A represent a function, and Table B does not.
Why?
Table to be a function, need to satisfy following conditions (look at the .jpeg image attached with this answer):
1. condition: In first circle, EVERY element has to be connected with SOME of the elements in second circle
2. condition: In first circle, there MUSTN'T be an element that has MORE THAN ONE connection with elements in second circle
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Table A satisfies BOTH of these conditions; that is why table A is indeed a function.
Table B satisfies FIRST condition but it does not satisfy the SECOND condition, that is why it is NOT a function.
Why?
Table to be a function, need to satisfy following conditions (look at the .jpeg image attached with this answer):
1. condition: In first circle, EVERY element has to be connected with SOME of the elements in second circle
2. condition: In first circle, there MUSTN'T be an element that has MORE THAN ONE connection with elements in second circle
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Table A satisfies BOTH of these conditions; that is why table A is indeed a function.
Table B satisfies FIRST condition but it does not satisfy the SECOND condition, that is why it is NOT a function.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the function
Let's rewrite the function by completing the square.
Subtract 4 from both sides
Simplify
Rewrite in the form (x+a)²=b
Rewrite in the form x²+2ax+a²
solve for a, 2ax = 8x
Divide both sides by 2x
simplify
Add a²=4² to both sides
Apply perfect square formula
(a+b)²= a²+2ab+b²
∵
Thus,