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- Graphing Functions
Identifying functions
- Intro Lesson: a4:33
- Lesson: 1a0:55
- Lesson: 1b1:04
- Lesson: 1c0:55
- Lesson: 21:53
- Lesson: 3a2:17
- Lesson: 3b1:47
- Lesson: 3c2:08
Identifying functions
Bring on more grid papers! In this chapter, we're going to study functions. Functions are notations that tell us what the value of y is for every value of x. By carrying out the vertical line test, we are able to find out the relationships of ordered pairs.
Basic Concepts: Solving linear equations by graphing, Relationship between two variables, Understand relations between x- and y-intercepts, Domain and range of a function
Lessons
Relations: Sets of ordered pairs ( x , y )
Function: For every value of x, there is a value of y. It will need to pass the vertical line test.
One-To-One Function: For every one value of x, there is only one value of y, and vice versa. It will need to pass both vertical and horizontal line test.
Vertical line Test: A vertical line that intersects the graph of the equation only once when moves from across on the x-axis.
Function: For every value of x, there is a value of y. It will need to pass the vertical line test.
One-To-One Function: For every one value of x, there is only one value of y, and vice versa. It will need to pass both vertical and horizontal line test.
Vertical line Test: A vertical line that intersects the graph of the equation only once when moves from across on the x-axis.
- Introductiona)Equations VS. Functions
- 1.Are the following sets of ordered pairs functions?a)(4,3), (2,6), (-3,4), (-2,5)b)(4,5), (4,-3), (2,6), (3,2)c)(3,6), (2,6), (5,3), (1,2)
- 2.Which of the following is a function?
- 3.Using the table of values to answer the questions below:a)
Express the relations using ordered pairs, mapping notations and determine is it a functionX value -5 -3 -1 1 3 Y value 3 1 -1 -2 -3 b)
Express the relations using ordered pairs, mapping notations and determine is it a functionX value -5 -3 -1 1 3 Y value 2 2 -1 -2 -3 c)
Express the relations using ordered pairs, mapping notations and determine is it a functionX value -5 -5 -1 1 3 Y value 2 3 2 3 -3
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11.
Graphing Functions
11.1
Domain and range of a function
11.2
Identifying functions
11.3
Function notation
11.4
Graphing linear functions using x- and y-intercepts
11.5
Determining number of solutions to linear equations
11.6
Using elimination method to solve systems of equations
11.7
Using substitution method to solve systems of equations
11.8
Solving systems of linear equations by graphing