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Lesson 3 Finding Your Roots Solidify Understanding

Ready

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:

graph of a function with points (0,0), (4,16), and (5,25)xy(5, 25)(5, 25)(5, 25)(4, 16)(4, 16)(4, 16)(0, 0)(0, 0)(0, 0)

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 television is , and the height is inches. Think of a function that could be used to find the height of any TV if the screen size and the width are known.

Function B:

Line segment with endpoints (-3,-25) and (15,65)xy(15, 65)(15, 65)(15, 65)(-3, -25)(-3, -25)(-3, -25)

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 with points (0,0) and (100,50)xy(100, 50)(100, 50)(100, 50)

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:

Set

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

4.

domain:

range:

intercepts:

a blank coordinate plane –10–10–10–5–5–5555101010–10–10–10–5–5–5555101010000

5.

domain:

range:

intercepts:

a blank coordinate plane –10–10–10–5–5–5555101010–10–10–10–5–5–5555101010000

6.

domain:

range:

intercepts:

a blank coordinate plane –10–10–10–5–5–5555101010–10–10–10–5–5–5555101010000

7.

domain:

range:

intercepts:

a blank coordinate plane –10–10–10–5–5–5555101010–10–10–10–5–5–5555101010000

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

8.

Graph of the intersection of y = x-5 and y=radical x 1x222444666888y222444000

9.

Graph of the intersection of y = 2x-4 and y=radical x 1x222444666888y222000

Go

Solve the following inequalities.

10.

11.

12.

13.

14.

15.