Radicals and Rational Functions

3.1 Write each expression in exponential form.

• A

• B

• C

• D

3.1 Rewrite in Radical Form.

• A

• B

• C

• D

3.2 What kind of function is represented by the graph?

IDENTIFY THE TURNING POINT: ( , )

• Cubic Root Function

• Cubic Function

• Polynomial Function

• Square Root Function

3.2

• x ≥ -5

• y ≥ -5

• All Real #s

• x ≤ -5

3.2

IDENTIFY THE STARTING POINT: ( , )

• y ≥ 0

• x ≥ -2

• x ≤ -2

• y ≥ 2

3.3 When solving radical equations, the MOST important step is to first....

• square both sides
• cube both sides
• isolate the radical
• factor

3.3 Solve and check.

THE 1ST STEP IS TO_________________ BOTH SIDES.

• 8

• 38

• 34

• 14

3.3 Solve for x:

(x + 2)^1/2 - 5 = -2

THE 1ST STEP IS TO _______ ON BOTH SIDES.

THE 2ND STEP IS TO RAISE BOTH SIDES TO THE ______ POWER.

• 1

• 5

• 7

• 9

3.4 The current (in ampere) a machine need to reach a certain power can be modeled by the equation I = 0.2√P , where P is the power of machine in watt. If the power of the machine is 60 watts, what is the current (in amperes) of the machine?

SHOW ALL WORK:

• 50 amperes

• 1.5 amperes

• none of the above

3.5 The number of hours to paint a house varies inversely with the number of painters working. A 2400-square foot house can be painted in 27 hours by 6 painters. How many painters would need to work in order to paint the house in 18 hours?

Define the variables: Let y represent _______ Let x represent ______

Type of variation:

Find K:

Substitute k into equation:

Solve:

• 8 painters

• 10 painters

• 9 painters

• 11 painters