Characteristics of a function

• Domain
• Range
• Zero(s)
• Monotonicity
• Extreme(s)
• Parity
• Periodicity

• Zero: the zero of a function is that point of the domain of a function for which the substitutional value is equal to zero. (that point of the graph which intersects the x-axis)
• Monotonicity:
• If f(x1)>f(x2) of an interval for any x1<x2, then the function is said to be decreasing in the interval
• If f(x1)<f(x2) of an interval for any x1<x2, then the function is said to be increasing in the interval
• Extremes:
• A function has a minimum at x0 if the function does not assume values smaller than f(x0)
• A function has a maximum at x0 if the function does not assume values larger than f(x0)

Oldal: Charasteristics of a function
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