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Title: Functions
Description: These notes focus on the basics of functions, rate of change, and how to distinguish them an linear or non-linear.
Description: These notes focus on the basics of functions, rate of change, and how to distinguish them an linear or non-linear.
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Functions
A special type of relation in which a rule assigns each input with exactly one output
...
Input: the value, variable, or quantity that determines another based on the relation or function rule
Output: the results of the relation or function rule
Representing Relations
Ordered pairs are all relations (4,9) (-16,3)
Table:
Graph:
x
y
4
9
-16
3
Y-Values
6
5
4
Equation:
3
y = 1x
2
1
Rate of change: a measurement of the change in
variables over a specific period of time
Change in y,rise,up
/ Change in x,run,across
Key words: every, per, each, for, division bars
0
0
1
2
3
4
5
6
Linear Function
A function with a constant rate of change whose graph is represented by a straight line
Line: a collection of points that goes on forever in opposite directions
...
Identify the R
...
C
...
Identify the initial value
3
...
O
...
Decreasing interval: line going down, negative R
...
C
...
O
...
Title: Functions
Description: These notes focus on the basics of functions, rate of change, and how to distinguish them an linear or non-linear.
Description: These notes focus on the basics of functions, rate of change, and how to distinguish them an linear or non-linear.