(a) Find its maximal domain of definition (definisjonsmengde) ?? and its range (verdimengde), in R.
(b) Draw the graph of ? . You can use Matlab’s functions fplot or plot.
(c) Find the inverse ? −1 . Do we need to restrict the domain of ? to find an inverse? Determine the correct domain of definition ?? −1 of the inverse. Hint: remember that we must have
(d) Find the limit lim ?→ −1 ? (?) . Are the limits from the left and from the right both well-defined in this case?
(e) Calculate the derivative ?
′ and find its domain of definition
Sun | Mon | Tue | Wed | Thu | Fri | Sat |
---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | 6 | 7 |
8 | 9 | 10 | 11 | 12 | 13 | 14 |
15 | 16 | 17 | 18 | 19 | 20 | 21 |
22 | 23 | 24 | 25 | 26 | 27 | 28 |
29 | 30 | 1 | 2 | 3 | 4 | 5 |