The graph of the exponential function, y = e^x, is drawn as:

 

                         

 

Properties of Exponential Graph

1. The y-intercept is 1. This is because at y-intercept, x = 0, y = e⁰ = 1.

2. As x tends to positive infinity, y tends to positive infinity.

3. As x tends to negative infinity, y tends to positive zero.

4. y = 0 is a horizontal asymptote.

5. The graph is an increasing function, since the gradient is always positive.

6. The function is always positive.