MAT135 Unit 1: Functions
1.1 FUNCTIONS AND CHANGE
Domain and Range
Linear Functions
Increasing / Decreasing Functions (+"Monotonic")
Proportionality (aka "Direct Variation")
Domain and Range
Linear Functions
Increasing / Decreasing Functions (+"Monotonic")
Proportionality (aka "Direct Variation")
1.2 EXPONENTIAL FUNCTIONS
Exponential Growth (i.e. of a population)
Concavity
Exponential Decay (i.e. of a drug in the body)
Half-Life and Doubling Time
Base e
Exponential Growth (i.e. of a population)
Concavity
Exponential Decay (i.e. of a drug in the body)
Half-Life and Doubling Time
Base e
1.3 NEW FUNCTIONS FROM OLD
Shifts and Stretches
Composite Functions
Odd and Even Functions: Symmetry
Inverse Functions
Shifts and Stretches
Composite Functions
Odd and Even Functions: Symmetry
Inverse Functions
1.4 LOGARITHMIC FUNCTIONS
Logarithms to Base 10 and to Base e
Solving Equations Using Logarithms
Logarithms to Base 10 and to Base e
Solving Equations Using Logarithms
1.5 TRIGONOMETRIC FUNCTIONS
Radians
The Sine and Cosine Functions
The Tangent Function
The Inverse Trigonometric Functions
Radians
The Sine and Cosine Functions
The Tangent Function
The Inverse Trigonometric Functions
1.6 POWERS, POLYNOMIALS, AND RATIONAL FUNCTIONS
Power Functions
Exponential vs Power Functions (Exponential Dominates)
Polynomial Functions
Rational Functions (including Horizontal and Vertical Asymptotes)
Power Functions
Exponential vs Power Functions (Exponential Dominates)
Polynomial Functions
Rational Functions (including Horizontal and Vertical Asymptotes)