Try 3.27 with a repeat bar over it.
Answer:
see attached
Step-by-step explanation:
The domain is the horizontal extent of the graph. The graph extends to infinity in both directions horizontally (that's what the arrows mean). There are no "holes" because the open circle at x=-1 is matched by a filled circle at the same location.
__
The range is the vertical extent of the graph. The minimum is -3, which is included in the range. The maximum is infinity (as indicated by the up-pointing arrow).
Answer:
![\begin{array}{cc}{Outcome} & {X's} & {FFF} & {0} & {SFF} & {1} & {FSF} & {1} & {FFS} & {1} & {FSS} & {2}& {SFS} & {2}& {SSF} & {2}& {SSS} & {3} \ \end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcc%7D%7BOutcome%7D%20%26%20%7BX%27s%7D%20%26%20%7BFFF%7D%20%26%20%7B0%7D%20%26%20%7BSFF%7D%20%26%20%7B1%7D%20%20%26%20%7BFSF%7D%20%26%20%7B1%7D%20%26%20%7BFFS%7D%20%26%20%7B1%7D%20%26%20%7BFSS%7D%20%26%20%7B2%7D%26%20%7BSFS%7D%20%26%20%7B2%7D%26%20%7BSSF%7D%20%26%20%7B2%7D%26%20%7BSSS%7D%20%26%20%7B3%7D%20%5C%20%5Cend%7Barray%7D)
Step-by-step explanation:
Given
![S_S = \{FFF, SFF, FSF, FFS, FSS, SFS, SSF, SSS\}](https://tex.z-dn.net/?f=S_S%20%3D%20%5C%7BFFF%2C%20SFF%2C%20FSF%2C%20FFS%2C%20FSS%2C%20SFS%2C%20SSF%2C%20SSS%5C%7D)
Number of beams failed by shear
Required
List each outcome and the value of X
To do this, we simply count the occurrence of S in each outcome.
This is tabulated as follows:
![\begin{array}{cc}{Outcome} & {X's} & {FFF} & {0} & {SFF} & {1} & {FSF} & {1} & {FFS} & {1} & {FSS} & {2}& {SFS} & {2}& {SSF} & {2}& {SSS} & {3} \ \end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcc%7D%7BOutcome%7D%20%26%20%7BX%27s%7D%20%26%20%7BFFF%7D%20%26%20%7B0%7D%20%26%20%7BSFF%7D%20%26%20%7B1%7D%20%20%26%20%7BFSF%7D%20%26%20%7B1%7D%20%26%20%7BFFS%7D%20%26%20%7B1%7D%20%26%20%7BFSS%7D%20%26%20%7B2%7D%26%20%7BSFS%7D%20%26%20%7B2%7D%26%20%7BSSF%7D%20%26%20%7B2%7D%26%20%7BSSS%7D%20%26%20%7B3%7D%20%5C%20%5Cend%7Barray%7D)
Answer:
-17
Step-by-step explanation:
Plug -3 into the function in place of x.
1. h(-3)= 4(-3) - 5
2. h(-3)= -12-5
3. h(-3)= -17