# Lesson 6 Getting Down to Business Solidify Understanding

Write the explicit equations for the tables and graphs.

### 1.

### 2.

### 3.

### 4.

### 5.

### 6.

### 7.

### 8.

### 9.

### 10.

The balance in an interest-bearing account is modeled with a continuous function over time. Which of the domain choices is a possibility?

#### A.

Real numbers greater than

#### B.

Whole numbers

#### C.

Integers

#### D.

Natural numbers

### 11.

Select the only equation that can be used to model a continuous exponential function.

#### A.

#### B.

#### C.

#### D.

### 12.

Select the only equation type that can be used to model a continuous linear function.

#### A.

#### B.

#### C.

#### D.

### 13.

The domains of arithmetic and geometric sequences are always subsets of which set of numbers?

#### A.

Real numbers

#### B.

Rational numbers

#### C.

Integers

### 14.

Select the attributes that characterize both arithmetic and geometric sequences. Select all that apply.

#### A.

Continuous

#### B.

Discrete

#### C.

Domain:

#### D.

Domain:

#### E.

Negative

#### F.

Something constant or consistent

#### G.

Recursive rule

### 15.

Explain why arithmetic sequences are a subset of linear functions. What makes them different?

### 16.

Explain why geometric sequences are a subset of exponential functions. What makes them different?

### 17.

The equation **all** possible solutions for the equation? Explain how the representation shows **all** solutions.

### 18.

The equation **all** possible solutions for the equation? Explain how the representation shows **all** solutions.

In problems 19 and 21 the first and fifth terms of both an arithmetic and a geometric sequence are given. Find the missing values for each sequence. Then write the explicit equation for each function.

### 19.

Arithmetic | |||||
---|---|---|---|---|---|

Geometric |

Arithmetic:

Geometric:

### 20.

Label the coordinates of the intersection points in the graph based on the table of values given in problem 19.

### 21.

Arithmetic | |||||
---|---|---|---|---|---|

Geometric |

Arithmetic:

Geometric:

### 22.

Label the coordinates of the intersection points in the graph based on the table of values given in problem 21.