

Graphs of Functions
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Anna Shier
Used 1+ times
FREE Resource
1 Slide • 19 Questions
1
Add these definitions to your digital notebook
Maximum: 1) the highest point on a graph, or 2) the biggest possible output of a function. Not all functions have a maximum
Minimum: 1) the lowest point on a graph, or 2) the smallest possible output of a function. Not all functions have a minimum
Increasing: a graph or part of a graph that goes up from left to right
Decreasing: a graph or part of a graph that goes down from left to right
x-intercept: the point(s) where the graph crosses the x-axis (where y is 0). A function can have any number of x-intercepts
y-intercept: the point where the graph crosses the y-axis (where x is 0). A function has at most one y-intercept
Domain: all the possible inputs (x-values) for a function
Range: all the possible outputs (y-values) for a function
2
Draw
Mark the maximum on the graph. If there isn't one, write N/A
3
Open Ended
What are the coordinates of the maximum?
4
Draw
Mark the minimum on the graph. If there isn't one, write N/A
5
Open Ended
What are the coordinates of the minimum?
6
Draw
Mark the x-intercept(s) on the graph. If there isn't one, write N/A
7
Draw
Mark the y-intercept on the graph. If there isn't one, write N/A
8
Open Ended
What are the coordinates of the y-intercept?
9
Draw
Highlight any increasing intervals
10
Open Ended
List all increasing intervals
Example: 5 seconds to 9 seconds
11
Draw
Highlight any decreasing intervals
12
Open Ended
List all decreasing intervals
Example: 0 seconds to 5 seconds
13
Open Ended
What is the domain of the graph?
14
Open Ended
What is the range of the graph?
15
Multiple Choice
The graph shows the number of homeless Americans each year from 2007 to 2023.
Which feature of the graph would help us find when homelessness was lowest?
the maximum
the minimum
the y-intercept
the domain
16
Multiple Choice
The graph shows the number of homeless Americans each year from 2007 to 2023.
Which feature of the graph would help us find the years when homelessness was going down?
increasing intervals
the minimum
decreasing intervals
the domain
17
Multiple Choice
The graph shows the number of homeless Americans each year from 2007 to 2023.
Which feature of the graph would help us find the years no one was homeless?
the y-intercept
the minimum
the x-intercept
decreasing intervals
18
Open Ended
The graph shows the number of homeless Americans each year from 2007 to 2023.
What was the highest homeless population from 2007 to 2023, and in what year did it happen?
19
Open Ended
The graph shows the number of homeless Americans each year from 2007 to 2023.
During what years was homelessness increasing?
20
Open Ended
The graph shows the number of homeless Americans each year from 2007 to 2023.
Were there any years when no one was homeless?
Add these definitions to your digital notebook
Maximum: 1) the highest point on a graph, or 2) the biggest possible output of a function. Not all functions have a maximum
Minimum: 1) the lowest point on a graph, or 2) the smallest possible output of a function. Not all functions have a minimum
Increasing: a graph or part of a graph that goes up from left to right
Decreasing: a graph or part of a graph that goes down from left to right
x-intercept: the point(s) where the graph crosses the x-axis (where y is 0). A function can have any number of x-intercepts
y-intercept: the point where the graph crosses the y-axis (where x is 0). A function has at most one y-intercept
Domain: all the possible inputs (x-values) for a function
Range: all the possible outputs (y-values) for a function
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