Answer:
The sample space is:
- (T,N): table height and brown
- (T, W): table height and white
- (T, K) : table height and black
- (B, N): bar height and brown
- (B, W): bar height and white
- (B, K): bar height and black
- (X, N): XL height and brown
- (X, W): XL height and white
- (W, K): XL height and black
Explanation:
The <em>sample space </em>is the set of all the possible outputs, i.e. the possible different combinations that can be choosen.
Use the letters T, B, and X to represent, respectively, table height, bar height, and XL height,
Use letters N, W, and K to represent, respectively, the colors brown, white and black.
Each combination consists of a height (T, B or X) and a color (N, W, K); thus, your sample space shall have 3 × 3 different combinations. These are:
- (T,N): table height and brown
- (T, W): table height and white
- (T, K) : table height and black
- (B, N): bar height and brown
- (B, W): bar height and white
- (B, K): bar height and black
- (X, N): XL height and brown
- (X, W): XL height and white
- (W, K): XL height and black
Using the graph and function concepts, it is found that:
a) The domain is ![[-5,4]](https://tex.z-dn.net/?f=%5B-5%2C4%5D)
, while the range is ![[-2,-5]](https://tex.z-dn.net/?f=%5B-2%2C-5%5D)
b) The function is increasing in ![[0,1]](https://tex.z-dn.net/?f=%5B0%2C1%5D)
and ![[2,3]](https://tex.z-dn.net/?f=%5B2%2C3%5D)
, and decreasing ![[-5,0], [1,2]](https://tex.z-dn.net/?f=%5B-5%2C0%5D%2C%20%5B1%2C2%5D)
, and ![[3,4]](https://tex.z-dn.net/?f=%5B3%2C4%5D)
.
--------------------
- The domain of a function is given by it's input values, that is, the values of x, the horizontal axis on the <em>graph</em>.
- The range of a function is given by it's output values, that is, the values of y, the vertical axis on the <em>graph</em>.
- If the <em>graph </em>is pointing upwards, the function increases.
- If the <em>graph </em>is pointing downwards, the function decreases.
--------------------
Item a:
- On the graph, the x-values are from -5 to 4, thus the domain is:
- The y-values are from -2 to -5, thus, the range is:
--------------------
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 and .
- On the other intervals, , and , the function is decreasing.
A similar problem is given at brainly.com/question/10891721
Answer:
Step-by-step explanation:
i dont know man look it up
Answer: Line c is a transversal line.
Step-by-step explanation: A transversal is a line that crosses at least two other lines. In this case, line c crosses lines a and b.
