1. Unit 1 Day 1 Key Features of Graphs
F-IF.4: Interpret key features of graphs, tables, and verbal descriptions in context to describe functions that arise in applications relating two quantities to include periodicity and discontinuities.

2. Domain and Range of Graphs
When identifying domain and range from a graph, you will write your answer as an _____________
Domain (from ________ to _________)
Smallest x-value to largest x-value
Range (from ________ to _________)
Smallest y-value to largest y-value
Use a ____________________( or ) for an open dot
Use a ____________________[ or ] for a closed dot
If this graph continues forever in any direction, use ∞ (______________) in place of a number
interval
left
right
bottom
top
Soft bracket
Hard bracket
infinity

3. Identify the domain and range of the graph below:[
−4, 6 ] [
−4, 3 ]

4. Intervals of Increase/Decrease
To determine whether a graph is increasing or decreasing look ____________ (like you’re reading)
When the graph goes up (left to right) this graph is __________
When the graph goes down (left to right) the graph is ______________
When writing intervals of increase/decrease only look at the _________ and only use ____________ ()
left to right
increasing
decreasing
x-values
soft brackets

5. Identify the intervals of increase/decrease for the graph:
Increasing:
Decreasing: (
−1, 3 ) (
−4, −1 ) U( 3, 6 )

6. Intervals where Functions is Positive/Negative
The positive regions of a function are those intervals where the function is _____________ the __________. 
It is where the y-values are ____________.
The negative regions of a function are those intervals where the function is ________ the _______. 
It is where the y-values are__________.
above
x-axis
positive
below
x-axis
negative

7. Identify the intervals where the function is positive and the intervals where it is negative(
−4, −3 ) U( 1, 5 ) (
−3, 1 ) U( 5, 6 )

8. Maximum/Minimum
Absolute max/min: the highest (_______) or lowest (_______) y-value on a graph
Relative max/min: the highest (_____________) or lowest (_______________) y-value on the graph compared to the surrounding points
max
min
relative max
relative min

9. Identify the max/min of the graph below
Identify the max/min of the graph below. Determine if these points are absolute or relative:
Maximum: ______
Absolute or Relative
Minimum: _______ 3 −4

10. X-Intercepts
Where the graph crosses the __________ (horizontal axis)
X-intercepts are also called the ______________ or zeros of the function
x-axis
solutions
What are the x-intercepts or solutions of the function graphed to the right?
(−3, 0)
(1, 0)
(5, 0)

11. Identify the Key Features of the Graph Below
Example #1
Identify the Key Features of the Graph Below
Domain:
Range:
Increasing:
Decreasing:
Maximum:
Absolute or Relative
Minimum:
Absolute or Relative
X-intercept(s):
Is the graph a function? (
−4, ∞ ) (
−∞, 4 ]
(−2, 2)
(−4,
−2)
U(2, ∞) 4 −4 0, 3
Yes

12. Identify the Key Features of the Graph Below
Example #2
Identify the Key Features of the Graph Below
Domain:
Range:
Increasing:
Decreasing:
Maximum:
Absolute or Relative
Minimum:
Absolute or Relative
X-intercept(s):
Is the graph a function? [ 0, 10 ] [ 0, 7 ]
(0, 3)
(7,
10) 7 0, 10
yes

13. Identify the Key Features of the Graph Below
Example #3
Identify the Key Features of the Graph Below
Domain:
Range:
Increasing:
Decreasing:
Maximum:
Absolute or Relative
Minimum:
Absolute or Relative
X-intercept(s):
Is the graph a function? (
−∞, ∞ ) (
−∞, ∞ )
(−∞, ∞)
Never
None
None
yes

14. Identify the Key Features of the Graph Below
Example #4
Identify the Key Features of the Graph Below
Domain:
Range:
Increasing:
Decreasing:
Maximum:
Absolute or Relative
Minimum:
Absolute or Relative
X-intercept(s):
Is the graph a function? (
−∞, ∞ ) ( 0, ∞ )
(−∞, ∞)
Never
None
None
None
yes

15. Identify the Key Features of the Graph Below
Example #5
Identify the Key Features of the Graph Below
Domain:
Range:
Increasing:
Decreasing:
Maximum:
Absolute or Relative
Minimum:
Absolute or Relative [
−5, 1 ] U ( 2, 5 ] [
−2, 4 ]
(−2, 0)
(0, 1)
U(2, 5) 4 −2