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- ACCUPLACER Test Prep
- Introduction to Relations and 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