# Lesson 4Water WonderlandSolidify Understanding

Solve the equations.

### 7.

The graph models potential business growth for two companies. Both companies are just getting started and Company A expects growth to increase at an increasing rate while Company B expects growth to increase at a constant rate.

#### a.

Estimate when, if ever, will the companies have the same profit. How do you see this in the graph?

#### b.

Which company has higher profits at the end of the comparison? How do you see this on the graph?

#### c.

What are the -intercepts? What do these mean in terms of making money?

#### d.

When does Company A start making money? How do you know this from the graph?

#### e.

If you were able to invest in either of these companies, which would you choose and why?

## Set

### 8.

Graph the explicit function and find the indicated values.

### 9.

#### d.

Write the explicit rule for .

### 10.

#### d.

Write the explicit rule for .

Two functions are graphed. Graph a new function on the same grid by adding the two given functions.

### 13.

Use the graph to answer the following questions.

Where does ?

What is ?

What is ?

#### d.

State the interval where .

## Go

For each graph, identify the domain, range, and whether or not the function is increasing or decreasing.