3 years ago

If two points pass through each other it will be function or if it doesn't pass

Mathematics

1 answer:

Rasek [7]3 years ago

5 0

Answer:

If two points pass through each other it means that it is not a function. The vertical line test shown proves that fact.

Step-by-step explanation:

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Step-by-step explanation:

1 step:

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2 step:

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$\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}\ \ (\ast)$

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$\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}=2(2^k-1)+2^{k+1}=2^{k+1}-2+2^{k+1}=2\cdot 2^{k+1}-2=2^{k+2}-2=2(2^{k+1}-1)$

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