Using the graph and function concepts, it is found that:
a) The domain is [tex][-5,4][/tex], while the range is [tex][-2,-5][/tex]
b) The function is increasing in [tex][0,1][/tex] and [tex][2,3][/tex], and decreasing [tex][-5,0], [1,2][/tex], and [tex][3,4][/tex].
--------------------
- The domain of a function is given by it's input values, that is, the values of x, the horizontal axis on the graph.
- The range of a function is given by it's output values, that is, the values of y, the vertical axis on the graph.
- If the graph is pointing upwards, the function increases.
- If the graph is pointing downwards, the function decreases.
--------------------
Item a:
- On the graph, the x-values are from -5 to 4, thus the domain is: [tex][-5,4][/tex]
- The y-values are from -2 to -5, thus, the range is: [tex][-2,-5][/tex]
--------------------
Item b:
- On the graph, it is pointing upwards on the following intervals, for x-values: From 0 to 1, and from 2 to 3, thus, the function is increasing in [tex][0,1][/tex] and [tex][2,3][/tex].
- On the other intervals, [tex][-5,0], [1,2][/tex], and [tex][3,4][/tex], the function is decreasing.
A similar problem is given at https://brainly.com/question/10891721
