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Functions Concept Map (Relations and Functions (Models (Algebraic, English…
Functions Concept Map
Relations and Functions
Is it a Function?
Vertical Line Test
Each value of the domain relates to only one value of the range
Properties of Functions
Odd/Even
End Behaviours
Domain + Range
Intervals of Increase + Decrease
Asymptotes/Discontinuities?
Inverse Functions
Piecewise Functions
Models
Algebraic
English Statement
Table of Values
Graph
Set of Ordered Pairs
Mapping Diagram
Logarithms + Exponentials
Log Laws + Properties
Product
Quotient
Zero
n
Applications
pH
dB
Richter scale
Solving Equations
Need to remember
restrictions
!
Equation Models
Doubling
Half-Life
Standard
Investment
Inverse
Rates of Change
Finding IRoC
Equation
Centered Interval
Preceding/Following Interval
Finding ARoC
Final Statements
Modelling a Word Problem
Trigonometry
Trig Identities
Cofunction
Acute
Double Angle
Pythagorean
sin^2x + cos^2x = 1
5-Point Graph
Word Problems
Combining Functions
Need to have same domain
Addition, Subtraction, Multiplication, Division
Multiply/etc the output for shared domain values
Graphing
Logarithmic
Find new anchor point using mapping rule
Find intercepts
Find vertical asymptotes
Sinusoidal
Transformations
Mapping Rule
Solving Equations
Factoring
Looping
Perfect Square
Grouping