Homework Sourse2 The graph of a function f is given Use the graph to estima
2.) The graph of a function f is given. Use the graph to estimate the following.
(a) All the local maximum and minimum values of the function and the value of x at which each occurs
(x, y) =
(x, y) =
(x, y) =
(b) The intervals on which the function is increasing and on which the function is decreasing. (Enter your answers using interval notation.)
1.) The graph of a function f is given. Use the graph to estimate the following. (Enter your answers using interval notation.)
(a) The domain and range of f.
(b) The intervals on which f is increasing and on which f is decreasing.
| local maximum | (x, y) = | |
| local minimum | (x, y) = | (smaller x-value) |
| local minimum | (x, y) = | (larger x-value) |
Solution
2) a) Local maximum: x=0, y=4; local minimum at x=-3, y=-2and x=2, y=1
function is increasing on (-3,0) U (unioin)(2,infinity)
and decreasing on (-infinity,-3)U(0,2)
1) a) domain [-5,4]; range[-4,2]
increasing: (-3,0)U(1,2)
decreasing: [-5,-3)U(0,1)U(2,4)
