# Lesson 3 Finding Your Roots Solidify Understanding

Two functions are represented in different ways. Identify the type of function as linear, quadratic, or square root. Give the domain and range of the specific function in the problem. Write the equation of the parent function. Then give the domain and range of the parent function. Describe the rate of change of this type of function.

### 1.

Function A:

Function B:

Function A:

type of function:

domain:

range:

description of the equation or form:

domain:

range:

describe the rate of change:

Function B:

type of function:

domain:

range:

description of the equation or form:

domain:

range:

describe the rate of change:

### 2.

Function A:

The size of a television screen is defined by the length of one of its diagonals. For example, the width of a

Function B:

Function A:

type of function:

domain:

range:

description of the equation or form:

domain:

range:

describe the rate of change:

Function B:

type of function:

domain:

range:

description of the equation or form:

domain:

range:

describe the rate of change:

### 3.

Function A:

Function B:

Function A:

type of function:

domain:

range:

description of the equation or form:

domain:

range:

describe the rate of change:

Function B:

type of function:

domain:

range:

description of the equation or form:

domain:

range:

describe the rate of change:

Graph the function. Identify the domain, range, and any intercepts.

### 4.

domain:

range:

intercepts:

### 5.

domain:

range:

intercepts:

### 6.

domain:

range:

intercepts:

### 7.

domain:

range:

intercepts:

Find the points of intersection of the two functions. Then solve the system algebraically to check your answer. Identify the extraneous root.

### 8.

### 9.

Solve the following inequalities.