Complete the following statement.

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Complete the following statement.

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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\(\LARGE\color{black}{ f(x) = \begin{cases} & x^2+2,{~~~~}{\large x\le1} \\ & ax,{~~~~~~~~~~}{\large x>1} \end{cases} }\)
So, you want that \(x^2+2\), at \(x=1\), will be equivalent to \(ax\), at \(x=1\).

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How would I do that
\(\large\color{black}{ \displaystyle (1)^2+2=a(1) }\)
a times 1 is just 1. and: (1)²+2=1+2=3
So the value of a that you want is equal to?
To the value in x^2 + 2?
Again, you want \(ax\) and \(x^2+2\) to be equal at x=1, so that there is no discontinuity at x=1.
a = 3?
\(\large x^2+2=ax\) \(\large 1^2+2=a\cdot 1\) \(\large {~~~~~~~}a~=~?\)
1^2+2=3 3 * 1 = 3 a = 3 right? :)
yes a=3
I didn't see that reply. I glitched. Again, yes you are right, a=3.
Thanks for teaching me :)
Not a problem

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