Functions
Domain and range, composition, inverses, functional equations, exponentials and logarithms.
Problems
- Equal Values of a Composed Quadratic
- Solving a Functional Composition
- Inverse of a Piecewise Function
- Counting Bijections
- Counting Injections with a Condition
- Maximum plus Minimum of a Rational Function
- Composing a Function Five Times
- A Recursively Defined Function
- Composing a Function and Its Inverse
- Choosing Continuous Branches
- Two Intersections with a Kinked Line
- Composing Permutations 2015 Times
- A Line Missing a Composite Step Function
- Functions That Never Climb
- Even Products and an Order
- Absolute Values Adding to Five
- An Exponential Meeting Its Inverse
- Equal Ratios with Logarithms
- Three Exponentials Equal to 540
- An Asymptote Crossing Two Log Curves
- A Log Curve Through a Circle's Diameter
- Three Equal Logarithms
- A Variable in the Exponent
- Counting Functions with Logarithmic Conditions
- A Line Crossing Two Shifted Exponentials
- Two Exponential Equations
- An Exponential and a Log Curve