Notes on Domain/Range in Real-Life Functions
... To begin, it is important for you to understand the meaning of the inequalities occasionally used to express the domain and range of a function. For example, suppose the domain of a function is 1 x 3 . This means that the domain is every number from -1 to 3, including -1 and 3. Suppose the doma ...
... To begin, it is important for you to understand the meaning of the inequalities occasionally used to express the domain and range of a function. For example, suppose the domain of a function is 1 x 3 . This means that the domain is every number from -1 to 3, including -1 and 3. Suppose the doma ...
Popper 03 Question 5
... We want to discuss the continuity of a given function at a point, over an interval, and for the whole domain. So first let’s get a definition of continuity. Briefly, a function is continuous at a point if the graph has no gaps, breaks, or jumps at that point. ...
... We want to discuss the continuity of a given function at a point, over an interval, and for the whole domain. So first let’s get a definition of continuity. Briefly, a function is continuous at a point if the graph has no gaps, breaks, or jumps at that point. ...
Lecture 15: October 20 The Tietze extension theorem. Another
... f (a) and h(a) both belong to I2 . In each case, the distance between f (a) and h(a) can be at most 23 r, which proves (15.5). The second step is to use the construction from above to prove assertion (a) in Theorem 15.1. If I consists of a single point, the result is clear. On the other hand, any cl ...
... f (a) and h(a) both belong to I2 . In each case, the distance between f (a) and h(a) can be at most 23 r, which proves (15.5). The second step is to use the construction from above to prove assertion (a) in Theorem 15.1. If I consists of a single point, the result is clear. On the other hand, any cl ...