Lesson 1 Attributes of Cubic Functions
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Easy
Standards-aligned
Anastasia Avila
Used 40+ times
FREE Resource
8 Slides • 6 Questions
1
TEKS 2A.2A
We will analyze graphs to determine attributes of cubic functions.
I will summarize how to determine attributes of cubic functions from their graphs.
2
Poll
What is an example of an attribute in any function?
The function itself
The x and y intercepts
Solving for x
Transformations
3
4
This is a point of a curve which a change in the direction of curvature occurs.
Vocab:
Inflection Point
Please note all cubic functions have Rotational Symmetry about their
inflection point.
5
Multiple Choice
From your notes, which of the following is the correct attribute of the cubic parent function?
Domain and Range is all real numbers
X-intercept of -1
Rotational symmetry about the intercepts
6
Step 1. Graph function on Desmos.com
Step 2. Identify x-intercept, y- intercept, and inflection point by tracing the graph
Step 3. State rotational symmetry about inflection point
Step 4. State domain and range
Step 5. Check the equation/function values over the given interval to determine and state the min and max values {y-values always}
Let's graph some examples!
7
Domain and Range in Interval Notation
8
Multiple Choice
What did you get for the max and min on the given interval for Example 1? (Remember max and min are the Y-values)
Max: -4
Min: 32
Max: -2
Min: 1
Max: 34
Min: -1
Max: 32
Min: -4
9
Domain and Range in Interval Notation
10
Dropdown
11
Domain and Range in Inequality Notation
12
Labeling
Label the attributes on the graph from your notes.
x and y -intercept (0,0)
Max: y = 2744
Max: y = 343
Rotational Symmetry (0,5)
13
Domain and Range in Inequality Notation
14
Poll
Rate your understanding of attributes for Cubic functions on a scale of 1-5, 1 being totally lost and 5 being completely confident.
5 - Oh yeah I got this!
4 - I feel pretty good
3 - I need a little more practice
2 - Ummm Maybe I get it
1 - Help! What is this madness?
TEKS 2A.2A
We will analyze graphs to determine attributes of cubic functions.
I will summarize how to determine attributes of cubic functions from their graphs.
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