Question

Left and Right end behavior of f(x)=2e^x+3 written in infinity notation.

Answer 1

Answer:

I think you wanna know exactly it's graph

See f(x)= 2 e^x +3

e^x is exponential function which is always positive and so lies above x axis

Multiply by 2 make it's incrementation in slope and now it will pass through (0,2)

Also adding 3 shifts graph 3 unit above y axis

So Now it will pass through (0, 2+3) that is B) (0,5)

Now At x approaches to minus infinity it will shift 3 unit up from 0 to 3 So it will pass through (-infinity,3)

Now see the pic