The graph of y = eˣ grows faster and faster to the right, and flattens towards the x-axis on the left.
| Domain | All real numbers (ℝ) |
| Range | (0, ∞) |
| Symmetry | Neither even nor odd |
| Increasing / decreasing | Increasing everywhere |
| Key feature | Crosses the y-axis at (0, 1); asymptote y = 0 on the left |
In y = a·e^(x − h) + k, the asymptote moves to y = k and the point (0, 1) moves to (h, a + k).
a stretches the graph vertically and flips it when negative. h shifts it right (left when negative). k shifts it up (down when negative).
Can you spot a transformed eˣ?Play Vakra: name the curve in five plots