Identify the type of graph for each of the following equations: y = ab^x + q (b>0), y = ax + q, y = ax2 + q, y = a/x + q (a!=0).

Here are the names of the graphs defined by the given equations:

1.1.1. The equation $y = ab^x + q$, where $b > 0$, defines an exponential function.

$$\boxed{\text{Exponential function}}$$

1.1.2. The equation $y = ax + q$ defines a linear function.

$$\boxed{\text{Linear function}}$$

1.1.3. The equation $y = ax^2 + q$ defines a quadratic function.

$$\boxed{\text{Quadratic function}}$$

1.1.4. The equation $y = \frac{a}{x} + q$, where $a \neq 0$, defines a hyperbolic function (or hyperbola).

$$\boxed{\text{Hyperbolic function}}$$