what function is represented?

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what function is represented?

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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i know it´s exponential
It seems like the line y = 1 is a horizontal asymptote. Apart from that, it looks like an exponential function, so my first guess would be: f(x)= 1+ a^x. Maybe if you read off a few points on the graph, you could determine a.

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Other answers:

a=2
is it 2^x+2 ?
OOps, the unit is 2 on the axes...so it is f(x)=2+a^x
It looks like a^x, but since the left sides converges towards 2 and not 0 it looks more like: y = 2+c*a^x y(2) seems to be about 6 y(0) seems to be about 2.5 y(0) = 2.5 => 1 + c*a^0 = 1 + c c = 1.5: y(2) = 1 + 1.5*a^2 = 6 1.5*a^2 = 5 a = sqrt( 5/1.5 ) ~ 1.8 all in all, y = 2 + 1.5 * 1.8^x
Now, let's see if I can read off the number a: if I move it down 2 units, it goes through (0,1). Also it would go through (2, 4), so a²=4/1=4. That means a=2. I think you have found the answer already!
thanks!
@BenjaminEE: seems you made an error reading off the value for y=0... (unit = 2 on the axes)
yw!
@ZeHanz Oh I see. Thanks for correcting me.

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