Relations Functions

Relations, Functions, Domain, and Range

Let's Start with a Review...

Multiple Choice

What is the x and y intercept for the following equation ?

4x - 10y = 20

• x - int = 4

  y-int = -10

• x-int = 5

  y-int = 2

• x - int = 5

  y int = -2

• x -int = 4

  y -int = -10

Multiple Choice

What is the x-intercept for the given graph?

• 1
• -2
• 2
• 1/2

Multiple Choice

What is the y-intercept for the given graph?

• -5
• 5
• 1
• -1

Multiple Choice

Given the list of ordered pairs, identify the y-intercept.
(1, 3),  (9,10),  (0, -4),  (8, 9),  (4, 0)

• (1,3)
• (0,-4) and (4,0)
• (0,-4)
• 3, 10, -4, 9, 0

Today's Goals

• Identify the domain and range

• Use the domain and range to find functions

• Use the vertical line test to find functions

Poll

Choose One:

Open Ended

What do you think this machine has to do with algebra?

Multiple Choice

Let's say you want a Sprite... What must you enter into the machine?

• A1

• B3

• B4

• A3 or B3

Poll

What if you pressed A3 or B3 and got a water?

• That's cool, I like water.

• I'd keep putting money in and trying until I got my Sprite.

• I'd stop using that machine

Multiple Choice

What's the correct mapping of this machine's domain and range?

Poll

What does this mapping mean in the context of this vending machine?

• Pressing A1 gets me what I want.

• I don't know what I'm going to get when I press A1.

• This machine works perfectly.

Here's the deal...

• We only call something a function when we know exactly what we're going to get (like when you press the x button).

• Getting what you want should be a function of pressing the correct button.

Poll

 Do you think this set of points represents a function?

$$\left\{\left(6,-3\right),\ \left(4,1\right),\left(7,-2\right),\left(-3,1\right)\right\}$$

• Yes

• No

Multiple Choice

• Function

• Not a Function

Multiple Choice

Is this mapping a function or not a function?

• Function

• Not a Function

Multiple Choice

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

• D: {1, -3, -4,}
  R: {0, 1, 2, -4}
• D:{0, 1, 2, -4}
  R:{1, -3, -4}
• D:{0, 1, 2, 3, 4}
  R:{1, -3, -4}

Multiple Choice

All of the x values or inputs are called what?

• Domain
• Range
• Relation
• Function

Multiple Choice

Is this table a function or not a function?

• Function

• Not a Function

Poll

In 10 minutes or less:

Open a new tab and Go to DeltaMath and complete the

Finding functions part 1

assignment.

You must get at least 4 correct.

Rate your performance.

• : )

• : |

• : (

Wait, there's another way:

• You can also tell if you have a function simply by looking at a graph.

• Use the VERTICAL LINE TEST

• If a vertical line touches more than one point on a graph at a time, then NO FUNCTION

Multiple Choice

Is this graph a function or not a function?

• Function

• Not a Function

Multiple Choice

Which graph does NOT pass the vertical line test?

• Graph 1

• Graph 2

• Graph 3

• Graph 4

Multiple Choice

Which graph is a function?

• Graph 1

• Graph 2

• Graph 3

• Graph 4

Multiple Choice

Is this graph a function or not a function?

• Function

• Not a Function

Poll

In 5 minutes or less:

Open a new tab, go to DeltaMath and complete the following assignment:

Finding Functions Part 2.

You must get 8 correct.

Rate your performance below:

• : )

• : |

• : (

Open Ended

One question I still have about functions, domain, and range is...

Poll

In 10 minutes or less: Open a new tab, go to DeltaMath and complete the Functions Mixed Practice Assignment. Rate your performance.

• : )

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