# Lesson 9 Form Follows Function Practice Understanding

### 1.

Compare different characteristics of each type of function by filling in the cells of each table as completely as possible.

Type of growth | ||

What kind of sequence corresponds to each model? | ||

Make a table of values | ||

Find the rate of change | ||

Graph each equation. Compare the graphs. What is the same? What is different? | ||

Find the |

### 2.

Find the

#### a.

#### b.

### 3.

Explain how you can find the

Decide which form of an equation will be the most efficient to use based on the given information.

Choices include:

Linear: slope-intercept form, point-slope form, recursive form

Exponential: explicit and recursive forms

### 4.

Jasmine has been working to save money and wants to have an equation to model the amount of money in her bank account. She has been depositing

Which equation form do you choose?

Write the equation:

### 5.

The table shows the number of rectangles created every time there is a fold made through the center of a paper. Use this table for each question.

Folds | Rectangles |
---|---|

#### a.

Find the number or rectangles created with

Which equation form do you choose?

Write the equation:

#### b.

Find the number of rectangles created with

Which equation form do you choose?

Write the equation:

### 6.

A heavy punching bag containing

Which equation form do you choose?

Write the equation:

### 7.

Since Scott started doing his workout plan, Janet has been inspired to set herself a goal to do more exercise and walk a little more each day. She has decided to walk

Which equation form do you choose?

Write the equation:

For each equation provided state what information you see in the equation that will help you graph it, then graph it.

### 8.

#### a.

What do you know from the equation that helps you to graph the function?

#### b.

Graph.

### 9.

#### a.

What do you know from the equation that helps you to graph the function?

#### b.

Graph.

Solve each equation. Justify your answer by identifying the property(s) you used.