131 views
1) Video outline At the end of the video, I also added the determination of the intersection of the graph of a function with the x, y coordinate axes 2) Increasing functions 3) Decreasing functions 4) Purely monotonic functions 5) Non-decreasing functions, a mention of what it means that a function is increasing, respectively. constant on the interval (analogously decreasing on the interval) 6) Non-increasing function 7) Monotone function 8) Constant function 9) Simple function connection with constant functions connection with purely monotone functions 10) Function bounded from above emphasis on the importance of the order of various quantifiers in the saying: "Who wants to beat a dog, find a stick." 11) Function bounded from below 12) Bounded function 13) Minimum of a function at a point 14) Maximum of a function at a point 15) Global extrema of a function 16) Even function 17) Odd function 18) Must every function be even or odd? 19) Can some function be even and odd at the same time? 20) Periodic function period and its ambiguity Can the smallest of all its periods be chosen for every periodic function? 21) Intercepts of the graph of a function with the x, y coordinate axes Example 1: g: y = x^2 - 1 Example 2: h: y = 1/x 22) Summary