# Lesson 2 I Rule! Solidify Understanding

Rewrite each expression as the product of two binomials.

Each expression involves two multiplication problems separated by a

Example:

Factor out

and write the numbers that remain . Rewrite as

.

### 1.

### 2.

### 3.

### 4.

### 5.

### 6.

### 7.

### 8.

In each set of three functions, one will be linear, one will be exponential, and one will be a quadratic function. Explain the nature of change for the function and find an explicit and recursive equation for each.

### 9.

#### a.

Type of function and nature of change:

Explicit equation:

Recursive equation:

#### b.

Type of function and nature of change:

Explicit equation:

Recursive equation:

#### c.

Type of function and nature of change:

Explicit equation:

Recursive equation:

#### d.

Type of function and rate of change:

Explicit equation:

Recursive equation:

#### e.

Type of function and rate of change:

Explicit equation:

Recursive equation:

#### f.

Type of function and rate of change:

Explicit equation:

Recursive equation:

### 10.

Graph the functions from the tables in problems 9 and 10. Add any additional characteristics you notice from the graph. Place the axes so that you can show all

#### a.

Equation:

#### b.

Equation:

#### c.

Equation:

#### d.

Equation:

#### e.

Equation:

#### f.

Equation:

Find the greatest common factor (GCF) for the given values.