Function (Graph)

Function (Graph)

-I can read inputs and outputs in graphs of functions. 

-I can determine if graphs are functions.

Criteria for Success

1. Identify input and outputs on a graph

2. Determine if a graph is a function

Definition

Function: A function is a function if and only if there is exactly one input for one output.

*In other words, the x-coordinate cannot repeat

Poll

Which one doesn't belong? (You can choose more than one if you choose.)

Open Ended

What made you choose your graph(s)? (Think about the definition of a function when answering this question.)

Vertical Line Test

We will be watching an example of this in order to define this:

https://www.youtube.com/watch?v=96VqHrvZdXw

Open Ended

In your own words, what is the vertical line test?

Scenario #1

A Fitbit is a device that can track your heart rate in beats per minute. The graph on the right shows Lache's heart rate for part of the day, with the number of beats per minute on the y-axis and the time of day on the x-axis. Use the graph to answer the questions that follow. 

Open Ended

Estimate Ernest’s heart rate at 3 AM and at 9 AM. At what time(s) in the day was Ernest’s heart rate around 75 beats per minute? Explain how you find your answers.

Open Ended

What time do you think Ernest woke up this morning? How do you know?

Multiple Choice

Is this graph a function?

• Yes this graph is a function because the line is too sharp

• No this is not a function because the line is too sharp

• Yes this graph is a function because it passes the vertical line test

• No this graph is not a function because it does not pass the vertical line test

Multiple Choice

Is y a function of x?

• function

• not a function

Multiple Choice

Is y a function of x?

• function

• not a function

Multiple Choice

Is y a function of x?

• function

• not a function

Multiple Choice

Is y a function of x?

• function

• not a function

Multiple Choice

Which image is NOT the graph of a function?

Multiple Choice

Which graph represents a function?

Multiple Choice

Is y a function of x?

• Yes, because it passes the vertical line test

• No, because it does not pass the vertical line test

Multiple Choice

Is y a function of x?

• function

• not a function

Multiple Choice

Is y a function of x?

• function

• not a function

Multiple Choice

Is y a function of x?

• function

• not a function

Multiple Choice

Is y a function of x?

• function

• not a function

Multiple Choice

Is y a function of x?

• function

• not a function

Multiple Choice

Is y a function of x?

• function

• not a function

Multiple Choice

Is y a function of x?

• function

• not a function

Multiple Choice

Using the vertical line test. Is this a function?

• Yes

• No

Multiple Choice

Using the vertical line test. Is this a function?

• Yes

• No

Exit Ticket (2 parts)

Open Ended

The graph shows the average precipitation in a rainforest in Belize over a 12-month period. What was the average precipitation in the month of August? In what month(s) was the average precipitation approximately 70 mm? Is this graph a function and why?

Poll

Today I learned:

• How to identify inputs and outputs on a graph

• How to determine if a graph is a function