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Functions

Learn the concept of a function and work with all kinds of them: related, rational, irrational, piece-wise... Study the general characteristics of the functions and operations between them.

• Bounded functions
• Cartesian axes and representation of points in the plane
• Computation of images and inverse images
• Concept and equation of a function
• Concept and expression of a real function
• Constant function, Linear function and Affine function
• Domain of a function
• Even and odd functions
• Exponential functions
• Extrema: maximum and minimum
• Function composition
• Functions defined by parts
• Functions: Graphic representation
• Graph of a function
• Graphic determination of the domain and of the image
• Image of a function
• Injective, exhaustive and bijective functions
• Irrational functions
• Logarithmic functions
• Monotonicity: increasing and decreasing functions
• Periodic functions
• Polynomial functions: constant, affine and quadratic
• Rational functions
• Sum, difference, product and division
• The absolute value function