## andreadesirepen 2 years ago what function is represented?

i know it´s exponential

3. ZeHanz

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.

a=2

is it 2^x+2 ?

6. ZeHanz

OOps, the unit is 2 on the axes...so it is f(x)=2+a^x

7. BenjaminEE

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

8. ZeHanz

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!

10. ZeHanz

@BenjaminEE: seems you made an error reading off the value for y=0... (unit = 2 on the axes)

11. ZeHanz

yw!

12. BenjaminEE

@ZeHanz Oh I see. Thanks for correcting me.