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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)
X value -5 -3 -1 1 3 Y value 3 1 -1 -2 -3 b)X value -5 -3 -1 1 3 Y value 2 2 -1 -2 -3 c)X value -5 -5 -1 1 3 Y value 2 3 2 3 -3
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8.
Linear Functions
8.1
Relationship between two variables
8.2
Understand relations between x- and y-intercepts
8.3
Domain and range of a function
8.4
Identifying functions
8.5
Function notation
8.6
Distance formula: d=(x2−x1)2+(y2−y1)2
8.7
Midpoint formula: M=(2x1+x2,2y1+y2)
8.8
Slope equation: m=x2−x1y2−y1
8.9
Slope intercept form: y = mx + b
8.10
General form: Ax + By + C = 0
8.11
Point-slope form: y−y1=m(x−x1)
8.12
Rate of change
8.13
Graphing linear functions using table of values
8.14
Graphing linear functions using x- and y-intercepts
8.15
Graphing from slope-intercept form y=mx+b
8.16
Graphing linear functions using a single point and slope
8.17
Word problems of graphing linear functions
8.18
Parallel and perpendicular lines in linear functions
8.19
Applications of linear relations
Don't just watch, practice makes perfect
Practice topics for Linear Functions
8.1
Relationship between two variables
8.2
Understand relations between x- and y-intercepts
8.3
Domain and range of a function
8.4
Identifying functions
8.5
Function notation
8.6
Distance formula: d=(x2−x1)2+(y2−y1)2
8.7
Midpoint formula: M=(2x1+x2,2y1+y2)
8.8
Slope equation: m=x2−x1y2−y1
8.9
Slope intercept form: y = mx + b
8.10
General form: Ax + By + C = 0
8.11
Point-slope form: y−y1=m(x−x1)
8.12
Rate of change
8.17
Word problems of graphing linear functions
8.18
Parallel and perpendicular lines in linear functions
8.19
Applications of linear relations