Qualitative Functions

Qualitative Functions

I can describe functions by analyzing graphs.

I can identify intervals of increasing, decreasing, linear, or nonlinear activity.

Criteria for Success

• Identify and describe where a graph may be increasing or decreasing.

• Identify and describe where a graph may be linear or nonlinear. 

• Interpret a graph in context of the situation, paying close attention to the variables involved.

• Describe stories that match graphical representations of functions. 

Open Ended

If you could describe yourself in less than 20 words, what would you say?

Multiple Select

Graphs can only do a few things. What are they?

• Increase

• Decrease

Vocabulary

Interval : Looking at the x-axis, the interval is where a graph can be described as increasing or decreasing.

Can be written like this:

Between 4 and 19 could look like [4,19].

What were using today. :)

Remember :

1. Identify and describe where a graph may be increasing or decreasing.

2. Identify and describe where a graph may be linear or nonlinear. 

3. Interpret a graph in context of the situation, paying close attention to the variables involved. Describe stories that match graphical representations of functions. 

Multiple Select

The intervals the graph is increasing is at

• When x is between 0 and 2

• When x is between 4 and 5

• When x is between 5 and 6

• When x is between 0 and 6

Multiple Select

The intervals the graph is decreasing is at

• When x is between 0 and 2

• When x is between 4 and 5

• When x is between 6 and 10

• When x is between 0 and 6

Multiple Choice

The intervals the graph is constant at

• When x is between 0 and 2

• When x is between 4 and 5

• When x is between 6 and 10

• When x is between 2 and 4

Poll

The graph is linear

• Everywhere; [0,10]

• In 3 spots; [0,2], [4,5], [5,6]

• In 2 spots; [0,2], [5,6]

• In one spot; [6,10]

Multiple Choice

The graph is nonlinear

• [0,10]

• [0,2], [4,5], [5,6]

• [0,2], [5,6]

• [6,10]

Exit Ticket

Multiple Select

Select all that apply to the image.

• The function is linear and increasing between days 0 and 9.

• The function is linear and decreasing between days 9 and 14.

• The function is nonlinear between days 0 and 6.

• The function is neither increasing nor decreasing between days 0 and 6.

• The function decreases for more days than it increases.

Multiple Choice

Which description is best represented by the graph?

• Adan added the same amount of money to his savings account for 6 days. Then, for the next 3 days, he increased how much he added to the account each day. Lastly, he decreased the amount of money he added to his account each day.

• Adan started with about $55 dollars in his savings account. He didn’t add anything to it for 6 days. Then he got some birthday money and added money to his savings account over 3 days, after which he started to take money out of his account to make purchases