When a > 0 and the b is greater than 1, the graph will be increasing (growing).

For this example, each time x is increased by 1, y increases by a factor of 2.

```
This would be considered exponential growth.
```

When a > 0 and the b is between 0 and 1, the graph will be decreasing (decaying).

For this example, each time x is increased by 1, y decreases to one half of its previous value.

```
This would be considered exponential decay.
```

Exponential growth and decay are mathematical changes. The rate of the change continues to either increase or decrease as time passes. In **exponential growth,** the rate of change increases over time - the rate of the growth becomes faster as time passes. In **exponential decay,** the rate of change decreases over time - the rate of the decay becomes slower as time passes.

Major Note: *Since the rate of change is not constant (the same) across the entire graph, these functions are not straight lines.*

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