Determining a Function

Determining a Function

Using the Vertical Line Test

Objective

• SWBAT use the vertical line test to determine if a continuous function - is a function

• SWBAT determine the domain and range of a continuous function

The Vertical Line Test (VLT)

• Is a strategy used to determine if a continuous function - IS or IS NOT a function

• Draw a vertical line anywhere thru the given function

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Vertical Line Test

You may put one or multiple vertical lines thru the function

The Vertical Line Test (VLT)

• IF the VERTICAL LINE passes thru ONE TIME - YES IT IS A FUNCTION
  

• IF the VERTICAL LINE passes thru TWO OR MORE TIMES - NO IT IS NOT A FUNCTION
  

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Finding domain and range

Domain (All x-values on the function)
Range (All the y-values on the function)

Finding domain and range

Domain (All x-values on the function)
Range (All the y-values on the function)

OPEN vs CLOSED Circles on a function

Open circle - Do NOT include this value for x or y
Closed circle - INCLUDE the value of x or y

LETS PRACTICE TOGETHER

Using VLT

Multiple Choice

Is this a function?

Does it PASS the VLT?

• Yes

• No

Multiple Choice

Is this a function?

Does it PASS the VLT?

• Yes

• No

Does this PASS the VLT?

What is the domain and range?

Does this PASS the VLT?

What is the domain and range?

Function toward INFINITY - Function with arrows

What is the domain and range?

YOUR TURN

• Remember to look Left to Right for x-values (Domain)

• Remember to look Bottom to Top for y-values (Range)

• When there are 2 arrows on a function you use INFINITY